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Finding the Third Proportional to 7,948.13 and 17,205.75

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Solution

The third proportional to 7,948.13 and 17,205.75 is: 37,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.13 : 17,205.75 = 17,205.75 : x
  2. Step 2: Convert to fraction form
    7,948.13/17,205.75 = 17,205.75/x
  3. Step 3: Cross multiply
    7,948.13x = 17,205.75 × 17,205.75
  4. Step 4: Simplify right side
    7,948.13x = 296,037,833.06
  5. Step 5: Solve for x
    x = 296,037,833.06/7,948.13
  6. Step 6: Final answer
    x = 37,246.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.