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Finding the Third Proportional to 29,750 and 64,926

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Solution

The third proportional to 29,750 and 64,926 is: 141,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750 : 64,926 = 64,926 : x
  2. Step 2: Convert to fraction form
    29,750/64,926 = 64,926/x
  3. Step 3: Cross multiply
    29,750x = 64,926 × 64,926
  4. Step 4: Simplify right side
    29,750x = 4,215,385,476
  5. Step 5: Solve for x
    x = 4,215,385,476/29,750
  6. Step 6: Final answer
    x = 141,693.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.