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Finding the Third Proportional to 44,748 and 62,714

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Solution

The third proportional to 44,748 and 62,714 is: 87,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,748 : 62,714 = 62,714 : x
  2. Step 2: Convert to fraction form
    44,748/62,714 = 62,714/x
  3. Step 3: Cross multiply
    44,748x = 62,714 × 62,714
  4. Step 4: Simplify right side
    44,748x = 3,933,045,796
  5. Step 5: Solve for x
    x = 3,933,045,796/44,748
  6. Step 6: Final answer
    x = 87,893.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.