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Finding the Third Proportional to 15,720.75 and 32,275.13

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Solution

The third proportional to 15,720.75 and 32,275.13 is: 66,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.75 : 32,275.13 = 32,275.13 : x
  2. Step 2: Convert to fraction form
    15,720.75/32,275.13 = 32,275.13/x
  3. Step 3: Cross multiply
    15,720.75x = 32,275.13 × 32,275.13
  4. Step 4: Simplify right side
    15,720.75x = 1,041,683,693.77
  5. Step 5: Solve for x
    x = 1,041,683,693.77/15,720.75
  6. Step 6: Final answer
    x = 66,261.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.