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Finding the Third Proportional to 25,128 and 29,416

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Solution

The third proportional to 25,128 and 29,416 is: 34,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,128 : 29,416 = 29,416 : x
  2. Step 2: Convert to fraction form
    25,128/29,416 = 29,416/x
  3. Step 3: Cross multiply
    25,128x = 29,416 × 29,416
  4. Step 4: Simplify right side
    25,128x = 865,301,056
  5. Step 5: Solve for x
    x = 865,301,056/25,128
  6. Step 6: Final answer
    x = 34,435.73

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.