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Finding the Third Proportional to 56,664 and 76,675.13

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Solution

The third proportional to 56,664 and 76,675.13 is: 103,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,664 : 76,675.13 = 76,675.13 : x
  2. Step 2: Convert to fraction form
    56,664/76,675.13 = 76,675.13/x
  3. Step 3: Cross multiply
    56,664x = 76,675.13 × 76,675.13
  4. Step 4: Simplify right side
    56,664x = 5,879,074,793.77
  5. Step 5: Solve for x
    x = 5,879,074,793.77/56,664
  6. Step 6: Final answer
    x = 103,753.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.