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Finding the Third Proportional to 27,513 and 60,284

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Solution

The third proportional to 27,513 and 60,284 is: 132,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513 : 60,284 = 60,284 : x
  2. Step 2: Convert to fraction form
    27,513/60,284 = 60,284/x
  3. Step 3: Cross multiply
    27,513x = 60,284 × 60,284
  4. Step 4: Simplify right side
    27,513x = 3,634,160,656
  5. Step 5: Solve for x
    x = 3,634,160,656/27,513
  6. Step 6: Final answer
    x = 132,088.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.