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Finding the Third Proportional to 14,451.75 and 23,608.13

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Solution

The third proportional to 14,451.75 and 23,608.13 is: 38,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.75 : 23,608.13 = 23,608.13 : x
  2. Step 2: Convert to fraction form
    14,451.75/23,608.13 = 23,608.13/x
  3. Step 3: Cross multiply
    14,451.75x = 23,608.13 × 23,608.13
  4. Step 4: Simplify right side
    14,451.75x = 557,343,566.02
  5. Step 5: Solve for x
    x = 557,343,566.02/14,451.75
  6. Step 6: Final answer
    x = 38,565.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.