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Finding the Third Proportional to 21,275.25 and 45,240.75

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Solution

The third proportional to 21,275.25 and 45,240.75 is: 96,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,275.25 : 45,240.75 = 45,240.75 : x
  2. Step 2: Convert to fraction form
    21,275.25/45,240.75 = 45,240.75/x
  3. Step 3: Cross multiply
    21,275.25x = 45,240.75 × 45,240.75
  4. Step 4: Simplify right side
    21,275.25x = 2,046,725,460.56
  5. Step 5: Solve for x
    x = 2,046,725,460.56/21,275.25
  6. Step 6: Final answer
    x = 96,202.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.