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Finding the Third Proportional to 8,985.38 and 19,497.88

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Solution

The third proportional to 8,985.38 and 19,497.88 is: 42,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.38 : 19,497.88 = 19,497.88 : x
  2. Step 2: Convert to fraction form
    8,985.38/19,497.88 = 19,497.88/x
  3. Step 3: Cross multiply
    8,985.38x = 19,497.88 × 19,497.88
  4. Step 4: Simplify right side
    8,985.38x = 380,167,129.52
  5. Step 5: Solve for x
    x = 380,167,129.52/8,985.38
  6. Step 6: Final answer
    x = 42,309.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.