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Finding the Third Proportional to 41,824.50 and 89,319

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Solution

The third proportional to 41,824.50 and 89,319 is: 190,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,824.50 : 89,319 = 89,319 : x
  2. Step 2: Convert to fraction form
    41,824.50/89,319 = 89,319/x
  3. Step 3: Cross multiply
    41,824.50x = 89,319 × 89,319
  4. Step 4: Simplify right side
    41,824.50x = 7,977,883,761
  5. Step 5: Solve for x
    x = 7,977,883,761/41,824.50
  6. Step 6: Final answer
    x = 190,746.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.