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Finding the Third Proportional to 39,572 and 85,288

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Solution

The third proportional to 39,572 and 85,288 is: 183,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,572 : 85,288 = 85,288 : x
  2. Step 2: Convert to fraction form
    39,572/85,288 = 85,288/x
  3. Step 3: Cross multiply
    39,572x = 85,288 × 85,288
  4. Step 4: Simplify right side
    39,572x = 7,274,042,944
  5. Step 5: Solve for x
    x = 7,274,042,944/39,572
  6. Step 6: Final answer
    x = 183,817.93

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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.