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Finding the Third Proportional to 38,323.13 and 61,008.19

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Solution

The third proportional to 38,323.13 and 61,008.19 is: 97,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,323.13 : 61,008.19 = 61,008.19 : x
  2. Step 2: Convert to fraction form
    38,323.13/61,008.19 = 61,008.19/x
  3. Step 3: Cross multiply
    38,323.13x = 61,008.19 × 61,008.19
  4. Step 4: Simplify right side
    38,323.13x = 3,721,998,942.04
  5. Step 5: Solve for x
    x = 3,721,998,942.04/38,323.13
  6. Step 6: Final answer
    x = 97,121.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.