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Finding the Third Proportional to 29,973 and 63,030

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Solution

The third proportional to 29,973 and 63,030 is: 132,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,973 : 63,030 = 63,030 : x
  2. Step 2: Convert to fraction form
    29,973/63,030 = 63,030/x
  3. Step 3: Cross multiply
    29,973x = 63,030 × 63,030
  4. Step 4: Simplify right side
    29,973x = 3,972,780,900
  5. Step 5: Solve for x
    x = 3,972,780,900/29,973
  6. Step 6: Final answer
    x = 132,545.32

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Why These Related Problems?

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