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Finding the Third Proportional to 8,132.91 and 12,677.77

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Solution

The third proportional to 8,132.91 and 12,677.77 is: 19,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.91 : 12,677.77 = 12,677.77 : x
  2. Step 2: Convert to fraction form
    8,132.91/12,677.77 = 12,677.77/x
  3. Step 3: Cross multiply
    8,132.91x = 12,677.77 × 12,677.77
  4. Step 4: Simplify right side
    8,132.91x = 160,725,741.24
  5. Step 5: Solve for x
    x = 160,725,741.24/8,132.91
  6. Step 6: Final answer
    x = 19,762.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.