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Finding the Third Proportional to 29,907 and 65,565

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Solution

The third proportional to 29,907 and 65,565 is: 143,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907 : 65,565 = 65,565 : x
  2. Step 2: Convert to fraction form
    29,907/65,565 = 65,565/x
  3. Step 3: Cross multiply
    29,907x = 65,565 × 65,565
  4. Step 4: Simplify right side
    29,907x = 4,298,769,225
  5. Step 5: Solve for x
    x = 4,298,769,225/29,907
  6. Step 6: Final answer
    x = 143,737.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.