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Finding the Third Proportional to 942.19 and 2,416.78

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Solution

The third proportional to 942.19 and 2,416.78 is: 6,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.19 : 2,416.78 = 2,416.78 : x
  2. Step 2: Convert to fraction form
    942.19/2,416.78 = 2,416.78/x
  3. Step 3: Cross multiply
    942.19x = 2,416.78 × 2,416.78
  4. Step 4: Simplify right side
    942.19x = 5,840,831.61
  5. Step 5: Solve for x
    x = 5,840,831.61/942.19
  6. Step 6: Final answer
    x = 6,199.22

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.