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Finding the Third Proportional to 8,541 and 14,053.50

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Solution

The third proportional to 8,541 and 14,053.50 is: 23,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541 : 14,053.50 = 14,053.50 : x
  2. Step 2: Convert to fraction form
    8,541/14,053.50 = 14,053.50/x
  3. Step 3: Cross multiply
    8,541x = 14,053.50 × 14,053.50
  4. Step 4: Simplify right side
    8,541x = 197,500,862.25
  5. Step 5: Solve for x
    x = 197,500,862.25/8,541
  6. Step 6: Final answer
    x = 23,123.86

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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.