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Finding the Third Proportional to 10,029.23 and 15,521.20

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Solution

The third proportional to 10,029.23 and 15,521.20 is: 24,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.23 : 15,521.20 = 15,521.20 : x
  2. Step 2: Convert to fraction form
    10,029.23/15,521.20 = 15,521.20/x
  3. Step 3: Cross multiply
    10,029.23x = 15,521.20 × 15,521.20
  4. Step 4: Simplify right side
    10,029.23x = 240,907,746.45
  5. Step 5: Solve for x
    x = 240,907,746.45/10,029.23
  6. Step 6: Final answer
    x = 24,020.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.