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Finding the Third Proportional to 15,886.97 and 34,236.42

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Solution

The third proportional to 15,886.97 and 34,236.42 is: 73,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.97 : 34,236.42 = 34,236.42 : x
  2. Step 2: Convert to fraction form
    15,886.97/34,236.42 = 34,236.42/x
  3. Step 3: Cross multiply
    15,886.97x = 34,236.42 × 34,236.42
  4. Step 4: Simplify right side
    15,886.97x = 1,172,132,582.80
  5. Step 5: Solve for x
    x = 1,172,132,582.80/15,886.97
  6. Step 6: Final answer
    x = 73,779.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.