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Finding the Third Proportional to 48,770 and 65,523

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Solution

The third proportional to 48,770 and 65,523 is: 88,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,770 : 65,523 = 65,523 : x
  2. Step 2: Convert to fraction form
    48,770/65,523 = 65,523/x
  3. Step 3: Cross multiply
    48,770x = 65,523 × 65,523
  4. Step 4: Simplify right side
    48,770x = 4,293,263,529
  5. Step 5: Solve for x
    x = 4,293,263,529/48,770
  6. Step 6: Final answer
    x = 88,030.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.