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Finding the Third Proportional to 39,382 and 60,313

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Solution

The third proportional to 39,382 and 60,313 is: 92,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382 : 60,313 = 60,313 : x
  2. Step 2: Convert to fraction form
    39,382/60,313 = 60,313/x
  3. Step 3: Cross multiply
    39,382x = 60,313 × 60,313
  4. Step 4: Simplify right side
    39,382x = 3,637,657,969
  5. Step 5: Solve for x
    x = 3,637,657,969/39,382
  6. Step 6: Final answer
    x = 92,368.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.