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Finding the Third Proportional to 19,499 and 28,517.25

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Solution

The third proportional to 19,499 and 28,517.25 is: 41,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,499 : 28,517.25 = 28,517.25 : x
  2. Step 2: Convert to fraction form
    19,499/28,517.25 = 28,517.25/x
  3. Step 3: Cross multiply
    19,499x = 28,517.25 × 28,517.25
  4. Step 4: Simplify right side
    19,499x = 813,233,547.56
  5. Step 5: Solve for x
    x = 813,233,547.56/19,499
  6. Step 6: Final answer
    x = 41,706.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.