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Finding the Third Proportional to 39,814 and 57,553

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Solution

The third proportional to 39,814 and 57,553 is: 83,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,814 : 57,553 = 57,553 : x
  2. Step 2: Convert to fraction form
    39,814/57,553 = 57,553/x
  3. Step 3: Cross multiply
    39,814x = 57,553 × 57,553
  4. Step 4: Simplify right side
    39,814x = 3,312,347,809
  5. Step 5: Solve for x
    x = 3,312,347,809/39,814
  6. Step 6: Final answer
    x = 83,195.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.