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Finding the Third Proportional to 14,615.60 and 22,114.90

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Solution

The third proportional to 14,615.60 and 22,114.90 is: 33,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.60 : 22,114.90 = 22,114.90 : x
  2. Step 2: Convert to fraction form
    14,615.60/22,114.90 = 22,114.90/x
  3. Step 3: Cross multiply
    14,615.60x = 22,114.90 × 22,114.90
  4. Step 4: Simplify right side
    14,615.60x = 489,068,732.90
  5. Step 5: Solve for x
    x = 489,068,732.90/14,615.60
  6. Step 6: Final answer
    x = 33,462.11

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Why These Related Problems?

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