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Finding the Third Proportional to 5,763.66 and 7,460.86

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Solution

The third proportional to 5,763.66 and 7,460.86 is: 9,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.66 : 7,460.86 = 7,460.86 : x
  2. Step 2: Convert to fraction form
    5,763.66/7,460.86 = 7,460.86/x
  3. Step 3: Cross multiply
    5,763.66x = 7,460.86 × 7,460.86
  4. Step 4: Simplify right side
    5,763.66x = 55,664,422.61
  5. Step 5: Solve for x
    x = 55,664,422.61/5,763.66
  6. Step 6: Final answer
    x = 9,657.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.