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Finding the Third Proportional to 27,846 and 61,903.13

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Solution

The third proportional to 27,846 and 61,903.13 is: 137,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846 : 61,903.13 = 61,903.13 : x
  2. Step 2: Convert to fraction form
    27,846/61,903.13 = 61,903.13/x
  3. Step 3: Cross multiply
    27,846x = 61,903.13 × 61,903.13
  4. Step 4: Simplify right side
    27,846x = 3,831,996,884.77
  5. Step 5: Solve for x
    x = 3,831,996,884.77/27,846
  6. Step 6: Final answer
    x = 137,613.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.