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Finding the Third Proportional to 27,528 and 58,942

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Solution

The third proportional to 27,528 and 58,942 is: 126,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,528 : 58,942 = 58,942 : x
  2. Step 2: Convert to fraction form
    27,528/58,942 = 58,942/x
  3. Step 3: Cross multiply
    27,528x = 58,942 × 58,942
  4. Step 4: Simplify right side
    27,528x = 3,474,159,364
  5. Step 5: Solve for x
    x = 3,474,159,364/27,528
  6. Step 6: Final answer
    x = 126,204.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.