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Finding the Third Proportional to 39,575 and 84,340

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Solution

The third proportional to 39,575 and 84,340 is: 179,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,575 : 84,340 = 84,340 : x
  2. Step 2: Convert to fraction form
    39,575/84,340 = 84,340/x
  3. Step 3: Cross multiply
    39,575x = 84,340 × 84,340
  4. Step 4: Simplify right side
    39,575x = 7,113,235,600
  5. Step 5: Solve for x
    x = 7,113,235,600/39,575
  6. Step 6: Final answer
    x = 179,740.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.