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Finding the Third Proportional to 29,658 and 40,032

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Solution

The third proportional to 29,658 and 40,032 is: 54,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658 : 40,032 = 40,032 : x
  2. Step 2: Convert to fraction form
    29,658/40,032 = 40,032/x
  3. Step 3: Cross multiply
    29,658x = 40,032 × 40,032
  4. Step 4: Simplify right side
    29,658x = 1,602,561,024
  5. Step 5: Solve for x
    x = 1,602,561,024/29,658
  6. Step 6: Final answer
    x = 54,034.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.