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Finding the Third Proportional to 15,264.70 and 24,282.28

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Solution

The third proportional to 15,264.70 and 24,282.28 is: 38,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,264.70 : 24,282.28 = 24,282.28 : x
  2. Step 2: Convert to fraction form
    15,264.70/24,282.28 = 24,282.28/x
  3. Step 3: Cross multiply
    15,264.70x = 24,282.28 × 24,282.28
  4. Step 4: Simplify right side
    15,264.70x = 589,629,182.70
  5. Step 5: Solve for x
    x = 589,629,182.70/15,264.70
  6. Step 6: Final answer
    x = 38,626.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.