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Finding the Third Proportional to 39,214.13 and 83,484

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Solution

The third proportional to 39,214.13 and 83,484 is: 177,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,214.13 : 83,484 = 83,484 : x
  2. Step 2: Convert to fraction form
    39,214.13/83,484 = 83,484/x
  3. Step 3: Cross multiply
    39,214.13x = 83,484 × 83,484
  4. Step 4: Simplify right side
    39,214.13x = 6,969,578,256
  5. Step 5: Solve for x
    x = 6,969,578,256/39,214.13
  6. Step 6: Final answer
    x = 177,731.32

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Why These Related Problems?

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