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Finding the Third Proportional to 27,461 and 58,628

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Solution

The third proportional to 27,461 and 58,628 is: 125,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461 : 58,628 = 58,628 : x
  2. Step 2: Convert to fraction form
    27,461/58,628 = 58,628/x
  3. Step 3: Cross multiply
    27,461x = 58,628 × 58,628
  4. Step 4: Simplify right side
    27,461x = 3,437,242,384
  5. Step 5: Solve for x
    x = 3,437,242,384/27,461
  6. Step 6: Final answer
    x = 125,168.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.