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Finding the Third Proportional to 32,068.13 and 49,332.38

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Solution

The third proportional to 32,068.13 and 49,332.38 is: 75,891.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,068.13 : 49,332.38 = 49,332.38 : x
  2. Step 2: Convert to fraction form
    32,068.13/49,332.38 = 49,332.38/x
  3. Step 3: Cross multiply
    32,068.13x = 49,332.38 × 49,332.38
  4. Step 4: Simplify right side
    32,068.13x = 2,433,683,223.14
  5. Step 5: Solve for x
    x = 2,433,683,223.14/32,068.13
  6. Step 6: Final answer
    x = 75,891.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.