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Finding the Third Proportional to 27,490 and 61,276

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Solution

The third proportional to 27,490 and 61,276 is: 136,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,490 : 61,276 = 61,276 : x
  2. Step 2: Convert to fraction form
    27,490/61,276 = 61,276/x
  3. Step 3: Cross multiply
    27,490x = 61,276 × 61,276
  4. Step 4: Simplify right side
    27,490x = 3,754,748,176
  5. Step 5: Solve for x
    x = 3,754,748,176/27,490
  6. Step 6: Final answer
    x = 136,585.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.