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Finding the Third Proportional to 40,700 and 61,007

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Solution

The third proportional to 40,700 and 61,007 is: 91,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,700 : 61,007 = 61,007 : x
  2. Step 2: Convert to fraction form
    40,700/61,007 = 61,007/x
  3. Step 3: Cross multiply
    40,700x = 61,007 × 61,007
  4. Step 4: Simplify right side
    40,700x = 3,721,854,049
  5. Step 5: Solve for x
    x = 3,721,854,049/40,700
  6. Step 6: Final answer
    x = 91,446.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.