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Finding the Third Proportional to 8,860.50 and 17,071.13

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Solution

The third proportional to 8,860.50 and 17,071.13 is: 32,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,860.50 : 17,071.13 = 17,071.13 : x
  2. Step 2: Convert to fraction form
    8,860.50/17,071.13 = 17,071.13/x
  3. Step 3: Cross multiply
    8,860.50x = 17,071.13 × 17,071.13
  4. Step 4: Simplify right side
    8,860.50x = 291,423,308.77
  5. Step 5: Solve for x
    x = 291,423,308.77/8,860.50
  6. Step 6: Final answer
    x = 32,890.17

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.