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Finding the Third Proportional to 27,830 and 61,492

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Solution

The third proportional to 27,830 and 61,492 is: 135,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830 : 61,492 = 61,492 : x
  2. Step 2: Convert to fraction form
    27,830/61,492 = 61,492/x
  3. Step 3: Cross multiply
    27,830x = 61,492 × 61,492
  4. Step 4: Simplify right side
    27,830x = 3,781,266,064
  5. Step 5: Solve for x
    x = 3,781,266,064/27,830
  6. Step 6: Final answer
    x = 135,870.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.