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Finding the Third Proportional to 29,748 and 47,829

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Solution

The third proportional to 29,748 and 47,829 is: 76,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,748 : 47,829 = 47,829 : x
  2. Step 2: Convert to fraction form
    29,748/47,829 = 47,829/x
  3. Step 3: Cross multiply
    29,748x = 47,829 × 47,829
  4. Step 4: Simplify right side
    29,748x = 2,287,613,241
  5. Step 5: Solve for x
    x = 2,287,613,241/29,748
  6. Step 6: Final answer
    x = 76,899.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.