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Finding the Third Proportional to 15,922.13 and 34,438.50

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Solution

The third proportional to 15,922.13 and 34,438.50 is: 74,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.13 : 34,438.50 = 34,438.50 : x
  2. Step 2: Convert to fraction form
    15,922.13/34,438.50 = 34,438.50/x
  3. Step 3: Cross multiply
    15,922.13x = 34,438.50 × 34,438.50
  4. Step 4: Simplify right side
    15,922.13x = 1,186,010,282.25
  5. Step 5: Solve for x
    x = 1,186,010,282.25/15,922.13
  6. Step 6: Final answer
    x = 74,488.19

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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.