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Finding the Third Proportional to 23,034.69 and 34,714.35

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Solution

The third proportional to 23,034.69 and 34,714.35 is: 52,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.69 : 34,714.35 = 34,714.35 : x
  2. Step 2: Convert to fraction form
    23,034.69/34,714.35 = 34,714.35/x
  3. Step 3: Cross multiply
    23,034.69x = 34,714.35 × 34,714.35
  4. Step 4: Simplify right side
    23,034.69x = 1,205,086,340.01
  5. Step 5: Solve for x
    x = 1,205,086,340.01/23,034.69
  6. Step 6: Final answer
    x = 52,316.15

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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.