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Finding the Third Proportional to 29,972 and 63,028

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Solution

The third proportional to 29,972 and 63,028 is: 132,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972 : 63,028 = 63,028 : x
  2. Step 2: Convert to fraction form
    29,972/63,028 = 63,028/x
  3. Step 3: Cross multiply
    29,972x = 63,028 × 63,028
  4. Step 4: Simplify right side
    29,972x = 3,972,528,784
  5. Step 5: Solve for x
    x = 3,972,528,784/29,972
  6. Step 6: Final answer
    x = 132,541.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.