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Finding the Third Proportional to 48,481 and 66,342

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Solution

The third proportional to 48,481 and 66,342 is: 90,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,481 : 66,342 = 66,342 : x
  2. Step 2: Convert to fraction form
    48,481/66,342 = 66,342/x
  3. Step 3: Cross multiply
    48,481x = 66,342 × 66,342
  4. Step 4: Simplify right side
    48,481x = 4,401,260,964
  5. Step 5: Solve for x
    x = 4,401,260,964/48,481
  6. Step 6: Final answer
    x = 90,783.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.