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Finding the Third Proportional to 29,478 and 64,437

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Solution

The third proportional to 29,478 and 64,437 is: 140,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478 : 64,437 = 64,437 : x
  2. Step 2: Convert to fraction form
    29,478/64,437 = 64,437/x
  3. Step 3: Cross multiply
    29,478x = 64,437 × 64,437
  4. Step 4: Simplify right side
    29,478x = 4,152,126,969
  5. Step 5: Solve for x
    x = 4,152,126,969/29,478
  6. Step 6: Final answer
    x = 140,855.11

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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.