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Finding the Third Proportional to 27,258 and 59,370

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Solution

The third proportional to 27,258 and 59,370 is: 129,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258 : 59,370 = 59,370 : x
  2. Step 2: Convert to fraction form
    27,258/59,370 = 59,370/x
  3. Step 3: Cross multiply
    27,258x = 59,370 × 59,370
  4. Step 4: Simplify right side
    27,258x = 3,524,796,900
  5. Step 5: Solve for x
    x = 3,524,796,900/27,258
  6. Step 6: Final answer
    x = 129,312.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.