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Finding the Third Proportional to 27,258 and 58,458

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Solution

The third proportional to 27,258 and 58,458 is: 125,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258 : 58,458 = 58,458 : x
  2. Step 2: Convert to fraction form
    27,258/58,458 = 58,458/x
  3. Step 3: Cross multiply
    27,258x = 58,458 × 58,458
  4. Step 4: Simplify right side
    27,258x = 3,417,337,764
  5. Step 5: Solve for x
    x = 3,417,337,764/27,258
  6. Step 6: Final answer
    x = 125,370.08

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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.