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Finding the Third Proportional to 10,027.83 and 15,590.18

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Solution

The third proportional to 10,027.83 and 15,590.18 is: 24,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.83 : 15,590.18 = 15,590.18 : x
  2. Step 2: Convert to fraction form
    10,027.83/15,590.18 = 15,590.18/x
  3. Step 3: Cross multiply
    10,027.83x = 15,590.18 × 15,590.18
  4. Step 4: Simplify right side
    10,027.83x = 243,053,702.69
  5. Step 5: Solve for x
    x = 243,053,702.69/10,027.83
  6. Step 6: Final answer
    x = 24,237.92

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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.