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Finding the Third Proportional to 8,707.50 and 19,656.42

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Solution

The third proportional to 8,707.50 and 19,656.42 is: 44,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.50 : 19,656.42 = 19,656.42 : x
  2. Step 2: Convert to fraction form
    8,707.50/19,656.42 = 19,656.42/x
  3. Step 3: Cross multiply
    8,707.50x = 19,656.42 × 19,656.42
  4. Step 4: Simplify right side
    8,707.50x = 386,374,920.93
  5. Step 5: Solve for x
    x = 386,374,920.93/8,707.50
  6. Step 6: Final answer
    x = 44,372.66

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.