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Finding the Third Proportional to 29,974 and 63,032

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Solution

The third proportional to 29,974 and 63,032 is: 132,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974 : 63,032 = 63,032 : x
  2. Step 2: Convert to fraction form
    29,974/63,032 = 63,032/x
  3. Step 3: Cross multiply
    29,974x = 63,032 × 63,032
  4. Step 4: Simplify right side
    29,974x = 3,973,033,024
  5. Step 5: Solve for x
    x = 3,973,033,024/29,974
  6. Step 6: Final answer
    x = 132,549.31

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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.