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Finding the Third Proportional to 39,500 and 83,440

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Solution

The third proportional to 39,500 and 83,440 is: 176,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,500 : 83,440 = 83,440 : x
  2. Step 2: Convert to fraction form
    39,500/83,440 = 83,440/x
  3. Step 3: Cross multiply
    39,500x = 83,440 × 83,440
  4. Step 4: Simplify right side
    39,500x = 6,962,233,600
  5. Step 5: Solve for x
    x = 6,962,233,600/39,500
  6. Step 6: Final answer
    x = 176,259.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.