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Finding the Third Proportional to 10,184.06 and 21,598.31

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Solution

The third proportional to 10,184.06 and 21,598.31 is: 45,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.06 : 21,598.31 = 21,598.31 : x
  2. Step 2: Convert to fraction form
    10,184.06/21,598.31 = 21,598.31/x
  3. Step 3: Cross multiply
    10,184.06x = 21,598.31 × 21,598.31
  4. Step 4: Simplify right side
    10,184.06x = 466,487,102.85
  5. Step 5: Solve for x
    x = 466,487,102.85/10,184.06
  6. Step 6: Final answer
    x = 45,805.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.