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Finding the Third Proportional to 30,674.81 and 45,001.13

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Solution

The third proportional to 30,674.81 and 45,001.13 is: 66,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.81 : 45,001.13 = 45,001.13 : x
  2. Step 2: Convert to fraction form
    30,674.81/45,001.13 = 45,001.13/x
  3. Step 3: Cross multiply
    30,674.81x = 45,001.13 × 45,001.13
  4. Step 4: Simplify right side
    30,674.81x = 2,025,101,251.27
  5. Step 5: Solve for x
    x = 2,025,101,251.27/30,674.81
  6. Step 6: Final answer
    x = 66,018.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.