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Finding the Third Proportional to 5,590.13 and 7,565.06

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Solution

The third proportional to 5,590.13 and 7,565.06 is: 10,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.13 : 7,565.06 = 7,565.06 : x
  2. Step 2: Convert to fraction form
    5,590.13/7,565.06 = 7,565.06/x
  3. Step 3: Cross multiply
    5,590.13x = 7,565.06 × 7,565.06
  4. Step 4: Simplify right side
    5,590.13x = 57,230,170.63
  5. Step 5: Solve for x
    x = 57,230,170.63/5,590.13
  6. Step 6: Final answer
    x = 10,237.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.