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Finding the Third Proportional to 47,831.81 and 74,654.81

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Solution

The third proportional to 47,831.81 and 74,654.81 is: 116,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,831.81 : 74,654.81 = 74,654.81 : x
  2. Step 2: Convert to fraction form
    47,831.81/74,654.81 = 74,654.81/x
  3. Step 3: Cross multiply
    47,831.81x = 74,654.81 × 74,654.81
  4. Step 4: Simplify right side
    47,831.81x = 5,573,341,029.41
  5. Step 5: Solve for x
    x = 5,573,341,029.41/47,831.81
  6. Step 6: Final answer
    x = 116,519.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.