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Finding the Third Proportional to 29,657 and 64,480

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Solution

The third proportional to 29,657 and 64,480 is: 140,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657 : 64,480 = 64,480 : x
  2. Step 2: Convert to fraction form
    29,657/64,480 = 64,480/x
  3. Step 3: Cross multiply
    29,657x = 64,480 × 64,480
  4. Step 4: Simplify right side
    29,657x = 4,157,670,400
  5. Step 5: Solve for x
    x = 4,157,670,400/29,657
  6. Step 6: Final answer
    x = 140,191.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.