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Finding the Third Proportional to 21,159.75 and 45,234.75

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Solution

The third proportional to 21,159.75 and 45,234.75 is: 96,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.75 : 45,234.75 = 45,234.75 : x
  2. Step 2: Convert to fraction form
    21,159.75/45,234.75 = 45,234.75/x
  3. Step 3: Cross multiply
    21,159.75x = 45,234.75 × 45,234.75
  4. Step 4: Simplify right side
    21,159.75x = 2,046,182,607.56
  5. Step 5: Solve for x
    x = 2,046,182,607.56/21,159.75
  6. Step 6: Final answer
    x = 96,701.64

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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.