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Finding the Third Proportional to 45,580.50 and 98,451

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Solution

The third proportional to 45,580.50 and 98,451 is: 212,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,580.50 : 98,451 = 98,451 : x
  2. Step 2: Convert to fraction form
    45,580.50/98,451 = 98,451/x
  3. Step 3: Cross multiply
    45,580.50x = 98,451 × 98,451
  4. Step 4: Simplify right side
    45,580.50x = 9,692,599,401
  5. Step 5: Solve for x
    x = 9,692,599,401/45,580.50
  6. Step 6: Final answer
    x = 212,647.94

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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.