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Finding the Third Proportional to 3,061.86 and 4,712.55

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Solution

The third proportional to 3,061.86 and 4,712.55 is: 7,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.86 : 4,712.55 = 4,712.55 : x
  2. Step 2: Convert to fraction form
    3,061.86/4,712.55 = 4,712.55/x
  3. Step 3: Cross multiply
    3,061.86x = 4,712.55 × 4,712.55
  4. Step 4: Simplify right side
    3,061.86x = 22,208,171.68
  5. Step 5: Solve for x
    x = 22,208,171.68/3,061.86
  6. Step 6: Final answer
    x = 7,253.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.