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Finding the Third Proportional to 39,253 and 84,790

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Solution

The third proportional to 39,253 and 84,790 is: 183,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,253 : 84,790 = 84,790 : x
  2. Step 2: Convert to fraction form
    39,253/84,790 = 84,790/x
  3. Step 3: Cross multiply
    39,253x = 84,790 × 84,790
  4. Step 4: Simplify right side
    39,253x = 7,189,344,100
  5. Step 5: Solve for x
    x = 7,189,344,100/39,253
  6. Step 6: Final answer
    x = 183,154.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.