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Finding the Third Proportional to 8,248.41 and 17,985.66

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Solution

The third proportional to 8,248.41 and 17,985.66 is: 39,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.41 : 17,985.66 = 17,985.66 : x
  2. Step 2: Convert to fraction form
    8,248.41/17,985.66 = 17,985.66/x
  3. Step 3: Cross multiply
    8,248.41x = 17,985.66 × 17,985.66
  4. Step 4: Simplify right side
    8,248.41x = 323,483,830.74
  5. Step 5: Solve for x
    x = 323,483,830.74/8,248.41
  6. Step 6: Final answer
    x = 39,217.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.