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Finding the Third Proportional to 8,574 and 14,116.50

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Solution

The third proportional to 8,574 and 14,116.50 is: 23,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574 : 14,116.50 = 14,116.50 : x
  2. Step 2: Convert to fraction form
    8,574/14,116.50 = 14,116.50/x
  3. Step 3: Cross multiply
    8,574x = 14,116.50 × 14,116.50
  4. Step 4: Simplify right side
    8,574x = 199,275,572.25
  5. Step 5: Solve for x
    x = 199,275,572.25/8,574
  6. Step 6: Final answer
    x = 23,241.84

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.