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Finding the Third Proportional to 40,584 and 88,550

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Solution

The third proportional to 40,584 and 88,550 is: 193,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,584 : 88,550 = 88,550 : x
  2. Step 2: Convert to fraction form
    40,584/88,550 = 88,550/x
  3. Step 3: Cross multiply
    40,584x = 88,550 × 88,550
  4. Step 4: Simplify right side
    40,584x = 7,841,102,500
  5. Step 5: Solve for x
    x = 7,841,102,500/40,584
  6. Step 6: Final answer
    x = 193,206.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.