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Finding the Third Proportional to 27,792 and 64,284

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Solution

The third proportional to 27,792 and 64,284 is: 148,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792 : 64,284 = 64,284 : x
  2. Step 2: Convert to fraction form
    27,792/64,284 = 64,284/x
  3. Step 3: Cross multiply
    27,792x = 64,284 × 64,284
  4. Step 4: Simplify right side
    27,792x = 4,132,432,656
  5. Step 5: Solve for x
    x = 4,132,432,656/27,792
  6. Step 6: Final answer
    x = 148,691.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.