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Finding the Third Proportional to 42,798 and 62,901

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Solution

The third proportional to 42,798 and 62,901 is: 92,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,798 : 62,901 = 62,901 : x
  2. Step 2: Convert to fraction form
    42,798/62,901 = 62,901/x
  3. Step 3: Cross multiply
    42,798x = 62,901 × 62,901
  4. Step 4: Simplify right side
    42,798x = 3,956,535,801
  5. Step 5: Solve for x
    x = 3,956,535,801/42,798
  6. Step 6: Final answer
    x = 92,446.75

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Why These Related Problems?

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