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Finding the Third Proportional to 23,412.38 and 35,701.88

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Solution

The third proportional to 23,412.38 and 35,701.88 is: 54,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.38 : 35,701.88 = 35,701.88 : x
  2. Step 2: Convert to fraction form
    23,412.38/35,701.88 = 35,701.88/x
  3. Step 3: Cross multiply
    23,412.38x = 35,701.88 × 35,701.88
  4. Step 4: Simplify right side
    23,412.38x = 1,274,623,878.52
  5. Step 5: Solve for x
    x = 1,274,623,878.52/23,412.38
  6. Step 6: Final answer
    x = 54,442.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.