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Finding the Third Proportional to 39,413 and 85,378

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Solution

The third proportional to 39,413 and 85,378 is: 184,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,413 : 85,378 = 85,378 : x
  2. Step 2: Convert to fraction form
    39,413/85,378 = 85,378/x
  3. Step 3: Cross multiply
    39,413x = 85,378 × 85,378
  4. Step 4: Simplify right side
    39,413x = 7,289,402,884
  5. Step 5: Solve for x
    x = 7,289,402,884/39,413
  6. Step 6: Final answer
    x = 184,949.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.