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Finding the Third Proportional to 15,228.56 and 22,842.84

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Solution

The third proportional to 15,228.56 and 22,842.84 is: 34,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.56 : 22,842.84 = 22,842.84 : x
  2. Step 2: Convert to fraction form
    15,228.56/22,842.84 = 22,842.84/x
  3. Step 3: Cross multiply
    15,228.56x = 22,842.84 × 22,842.84
  4. Step 4: Simplify right side
    15,228.56x = 521,795,510.59
  5. Step 5: Solve for x
    x = 521,795,510.59/15,228.56
  6. Step 6: Final answer
    x = 34,264.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.