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Finding the Third Proportional to 23,657.25 and 35,586

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Solution

The third proportional to 23,657.25 and 35,586 is: 53,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.25 : 35,586 = 35,586 : x
  2. Step 2: Convert to fraction form
    23,657.25/35,586 = 35,586/x
  3. Step 3: Cross multiply
    23,657.25x = 35,586 × 35,586
  4. Step 4: Simplify right side
    23,657.25x = 1,266,363,396
  5. Step 5: Solve for x
    x = 1,266,363,396/23,657.25
  6. Step 6: Final answer
    x = 53,529.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.