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Finding the Third Proportional to 8,700 and 13,171.50

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Solution

The third proportional to 8,700 and 13,171.50 is: 19,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,700 : 13,171.50 = 13,171.50 : x
  2. Step 2: Convert to fraction form
    8,700/13,171.50 = 13,171.50/x
  3. Step 3: Cross multiply
    8,700x = 13,171.50 × 13,171.50
  4. Step 4: Simplify right side
    8,700x = 173,488,412.25
  5. Step 5: Solve for x
    x = 173,488,412.25/8,700
  6. Step 6: Final answer
    x = 19,941.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.