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Finding the Third Proportional to 5,702.91 and 15,445.69

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Solution

The third proportional to 5,702.91 and 15,445.69 is: 41,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.91 : 15,445.69 = 15,445.69 : x
  2. Step 2: Convert to fraction form
    5,702.91/15,445.69 = 15,445.69/x
  3. Step 3: Cross multiply
    5,702.91x = 15,445.69 × 15,445.69
  4. Step 4: Simplify right side
    5,702.91x = 238,569,262.35
  5. Step 5: Solve for x
    x = 238,569,262.35/5,702.91
  6. Step 6: Final answer
    x = 41,832.93

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.