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Finding the Third Proportional to 27,374 and 59,248

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Solution

The third proportional to 27,374 and 59,248 is: 128,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374 : 59,248 = 59,248 : x
  2. Step 2: Convert to fraction form
    27,374/59,248 = 59,248/x
  3. Step 3: Cross multiply
    27,374x = 59,248 × 59,248
  4. Step 4: Simplify right side
    27,374x = 3,510,325,504
  5. Step 5: Solve for x
    x = 3,510,325,504/27,374
  6. Step 6: Final answer
    x = 128,235.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.