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Finding the Third Proportional to 8,770.50 and 19,387.13

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Solution

The third proportional to 8,770.50 and 19,387.13 is: 42,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.50 : 19,387.13 = 19,387.13 : x
  2. Step 2: Convert to fraction form
    8,770.50/19,387.13 = 19,387.13/x
  3. Step 3: Cross multiply
    8,770.50x = 19,387.13 × 19,387.13
  4. Step 4: Simplify right side
    8,770.50x = 375,860,615.77
  5. Step 5: Solve for x
    x = 375,860,615.77/8,770.50
  6. Step 6: Final answer
    x = 42,855.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.