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Finding the Third Proportional to 48,357 and 71,613

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Solution

The third proportional to 48,357 and 71,613 is: 106,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,357 : 71,613 = 71,613 : x
  2. Step 2: Convert to fraction form
    48,357/71,613 = 71,613/x
  3. Step 3: Cross multiply
    48,357x = 71,613 × 71,613
  4. Step 4: Simplify right side
    48,357x = 5,128,421,769
  5. Step 5: Solve for x
    x = 5,128,421,769/48,357
  6. Step 6: Final answer
    x = 106,053.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.