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Finding the Third Proportional to 8,624 and 13,810

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Solution

The third proportional to 8,624 and 13,810 is: 22,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624 : 13,810 = 13,810 : x
  2. Step 2: Convert to fraction form
    8,624/13,810 = 13,810/x
  3. Step 3: Cross multiply
    8,624x = 13,810 × 13,810
  4. Step 4: Simplify right side
    8,624x = 190,716,100
  5. Step 5: Solve for x
    x = 190,716,100/8,624
  6. Step 6: Final answer
    x = 22,114.58

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.