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Finding the Third Proportional to 29,464 and 44,260

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Solution

The third proportional to 29,464 and 44,260 is: 66,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464 : 44,260 = 44,260 : x
  2. Step 2: Convert to fraction form
    29,464/44,260 = 44,260/x
  3. Step 3: Cross multiply
    29,464x = 44,260 × 44,260
  4. Step 4: Simplify right side
    29,464x = 1,958,947,600
  5. Step 5: Solve for x
    x = 1,958,947,600/29,464
  6. Step 6: Final answer
    x = 66,486.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.