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Finding the Third Proportional to 22,831.03 and 48,813.47

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Solution

The third proportional to 22,831.03 and 48,813.47 is: 104,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.03 : 48,813.47 = 48,813.47 : x
  2. Step 2: Convert to fraction form
    22,831.03/48,813.47 = 48,813.47/x
  3. Step 3: Cross multiply
    22,831.03x = 48,813.47 × 48,813.47
  4. Step 4: Simplify right side
    22,831.03x = 2,382,754,731.41
  5. Step 5: Solve for x
    x = 2,382,754,731.41/22,831.03
  6. Step 6: Final answer
    x = 104,364.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.