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Finding the Third Proportional to 15,643.13 and 32,395.13

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Solution

The third proportional to 15,643.13 and 32,395.13 is: 67,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.13 : 32,395.13 = 32,395.13 : x
  2. Step 2: Convert to fraction form
    15,643.13/32,395.13 = 32,395.13/x
  3. Step 3: Cross multiply
    15,643.13x = 32,395.13 × 32,395.13
  4. Step 4: Simplify right side
    15,643.13x = 1,049,444,123.77
  5. Step 5: Solve for x
    x = 1,049,444,123.77/15,643.13
  6. Step 6: Final answer
    x = 67,086.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.