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Finding the Third Proportional to 27,460 and 59,931.81

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Solution

The third proportional to 27,460 and 59,931.81 is: 130,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460 : 59,931.81 = 59,931.81 : x
  2. Step 2: Convert to fraction form
    27,460/59,931.81 = 59,931.81/x
  3. Step 3: Cross multiply
    27,460x = 59,931.81 × 59,931.81
  4. Step 4: Simplify right side
    27,460x = 3,591,822,149.54
  5. Step 5: Solve for x
    x = 3,591,822,149.54/27,460
  6. Step 6: Final answer
    x = 130,801.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.