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Finding the Third Proportional to 27,070 and 39,785

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Solution

The third proportional to 27,070 and 39,785 is: 58,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,070 : 39,785 = 39,785 : x
  2. Step 2: Convert to fraction form
    27,070/39,785 = 39,785/x
  3. Step 3: Cross multiply
    27,070x = 39,785 × 39,785
  4. Step 4: Simplify right side
    27,070x = 1,582,846,225
  5. Step 5: Solve for x
    x = 1,582,846,225/27,070
  6. Step 6: Final answer
    x = 58,472.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.