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Finding the Third Proportional to 25,133.50 and 38,290

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Solution

The third proportional to 25,133.50 and 38,290 is: 58,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,133.50 : 38,290 = 38,290 : x
  2. Step 2: Convert to fraction form
    25,133.50/38,290 = 38,290/x
  3. Step 3: Cross multiply
    25,133.50x = 38,290 × 38,290
  4. Step 4: Simplify right side
    25,133.50x = 1,466,124,100
  5. Step 5: Solve for x
    x = 1,466,124,100/25,133.50
  6. Step 6: Final answer
    x = 58,333.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.