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Finding the Third Proportional to 27,574 and 59,276

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Solution

The third proportional to 27,574 and 59,276 is: 127,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574 : 59,276 = 59,276 : x
  2. Step 2: Convert to fraction form
    27,574/59,276 = 59,276/x
  3. Step 3: Cross multiply
    27,574x = 59,276 × 59,276
  4. Step 4: Simplify right side
    27,574x = 3,513,644,176
  5. Step 5: Solve for x
    x = 3,513,644,176/27,574
  6. Step 6: Final answer
    x = 127,425.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.