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Finding the Third Proportional to 39,309 and 62,274

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Solution

The third proportional to 39,309 and 62,274 is: 98,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,309 : 62,274 = 62,274 : x
  2. Step 2: Convert to fraction form
    39,309/62,274 = 62,274/x
  3. Step 3: Cross multiply
    39,309x = 62,274 × 62,274
  4. Step 4: Simplify right side
    39,309x = 3,878,051,076
  5. Step 5: Solve for x
    x = 3,878,051,076/39,309
  6. Step 6: Final answer
    x = 98,655.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.