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Finding the Third Proportional to 25,205.75 and 37,233.75

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Solution

The third proportional to 25,205.75 and 37,233.75 is: 55,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.75 : 37,233.75 = 37,233.75 : x
  2. Step 2: Convert to fraction form
    25,205.75/37,233.75 = 37,233.75/x
  3. Step 3: Cross multiply
    25,205.75x = 37,233.75 × 37,233.75
  4. Step 4: Simplify right side
    25,205.75x = 1,386,352,139.06
  5. Step 5: Solve for x
    x = 1,386,352,139.06/25,205.75
  6. Step 6: Final answer
    x = 55,001.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.