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Finding the Third Proportional to 27,513 and 45,521.25

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Solution

The third proportional to 27,513 and 45,521.25 is: 75,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513 : 45,521.25 = 45,521.25 : x
  2. Step 2: Convert to fraction form
    27,513/45,521.25 = 45,521.25/x
  3. Step 3: Cross multiply
    27,513x = 45,521.25 × 45,521.25
  4. Step 4: Simplify right side
    27,513x = 2,072,184,201.56
  5. Step 5: Solve for x
    x = 2,072,184,201.56/27,513
  6. Step 6: Final answer
    x = 75,316.55

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.