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Finding the Third Proportional to 27,496 and 61,310

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Solution

The third proportional to 27,496 and 61,310 is: 136,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496 : 61,310 = 61,310 : x
  2. Step 2: Convert to fraction form
    27,496/61,310 = 61,310/x
  3. Step 3: Cross multiply
    27,496x = 61,310 × 61,310
  4. Step 4: Simplify right side
    27,496x = 3,758,916,100
  5. Step 5: Solve for x
    x = 3,758,916,100/27,496
  6. Step 6: Final answer
    x = 136,707.74

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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.