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Finding the Third Proportional to 24,417.07 and 51,831.77

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Solution

The third proportional to 24,417.07 and 51,831.77 is: 110,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.07 : 51,831.77 = 51,831.77 : x
  2. Step 2: Convert to fraction form
    24,417.07/51,831.77 = 51,831.77/x
  3. Step 3: Cross multiply
    24,417.07x = 51,831.77 × 51,831.77
  4. Step 4: Simplify right side
    24,417.07x = 2,686,532,737.68
  5. Step 5: Solve for x
    x = 2,686,532,737.68/24,417.07
  6. Step 6: Final answer
    x = 110,026.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.