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Finding the Third Proportional to 25,720 and 34,720

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Solution

The third proportional to 25,720 and 34,720 is: 46,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720 : 34,720 = 34,720 : x
  2. Step 2: Convert to fraction form
    25,720/34,720 = 34,720/x
  3. Step 3: Cross multiply
    25,720x = 34,720 × 34,720
  4. Step 4: Simplify right side
    25,720x = 1,205,478,400
  5. Step 5: Solve for x
    x = 1,205,478,400/25,720
  6. Step 6: Final answer
    x = 46,869.30

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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.