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Finding the Third Proportional to 14,305.50 and 22,132.13

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Solution

The third proportional to 14,305.50 and 22,132.13 is: 34,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.50 : 22,132.13 = 22,132.13 : x
  2. Step 2: Convert to fraction form
    14,305.50/22,132.13 = 22,132.13/x
  3. Step 3: Cross multiply
    14,305.50x = 22,132.13 × 22,132.13
  4. Step 4: Simplify right side
    14,305.50x = 489,830,957.02
  5. Step 5: Solve for x
    x = 489,830,957.02/14,305.50
  6. Step 6: Final answer
    x = 34,240.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.