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Finding the Third Proportional to 39,386 and 57,927

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Solution

The third proportional to 39,386 and 57,927 is: 85,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,386 : 57,927 = 57,927 : x
  2. Step 2: Convert to fraction form
    39,386/57,927 = 57,927/x
  3. Step 3: Cross multiply
    39,386x = 57,927 × 57,927
  4. Step 4: Simplify right side
    39,386x = 3,355,537,329
  5. Step 5: Solve for x
    x = 3,355,537,329/39,386
  6. Step 6: Final answer
    x = 85,196.19

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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.