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Finding the Third Proportional to 24,584 and 35,292

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Solution

The third proportional to 24,584 and 35,292 is: 50,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,584 : 35,292 = 35,292 : x
  2. Step 2: Convert to fraction form
    24,584/35,292 = 35,292/x
  3. Step 3: Cross multiply
    24,584x = 35,292 × 35,292
  4. Step 4: Simplify right side
    24,584x = 1,245,525,264
  5. Step 5: Solve for x
    x = 1,245,525,264/24,584
  6. Step 6: Final answer
    x = 50,664.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.