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Finding the Third Proportional to 42,006.94 and 66,547.83

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Solution

The third proportional to 42,006.94 and 66,547.83 is: 105,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,006.94 : 66,547.83 = 66,547.83 : x
  2. Step 2: Convert to fraction form
    42,006.94/66,547.83 = 66,547.83/x
  3. Step 3: Cross multiply
    42,006.94x = 66,547.83 × 66,547.83
  4. Step 4: Simplify right side
    42,006.94x = 4,428,613,428.15
  5. Step 5: Solve for x
    x = 4,428,613,428.15/42,006.94
  6. Step 6: Final answer
    x = 105,425.76

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.