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Finding the Third Proportional to 8,981.75 and 14,165.75

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Solution

The third proportional to 8,981.75 and 14,165.75 is: 22,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.75 : 14,165.75 = 14,165.75 : x
  2. Step 2: Convert to fraction form
    8,981.75/14,165.75 = 14,165.75/x
  3. Step 3: Cross multiply
    8,981.75x = 14,165.75 × 14,165.75
  4. Step 4: Simplify right side
    8,981.75x = 200,668,473.06
  5. Step 5: Solve for x
    x = 200,668,473.06/8,981.75
  6. Step 6: Final answer
    x = 22,341.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.