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Finding the Third Proportional to 27,513 and 40,441.50

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Solution

The third proportional to 27,513 and 40,441.50 is: 59,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513 : 40,441.50 = 40,441.50 : x
  2. Step 2: Convert to fraction form
    27,513/40,441.50 = 40,441.50/x
  3. Step 3: Cross multiply
    27,513x = 40,441.50 × 40,441.50
  4. Step 4: Simplify right side
    27,513x = 1,635,514,922.25
  5. Step 5: Solve for x
    x = 1,635,514,922.25/27,513
  6. Step 6: Final answer
    x = 59,445.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.