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Finding the Third Proportional to 26,981 and 59,278

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Solution

The third proportional to 26,981 and 59,278 is: 130,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,981 : 59,278 = 59,278 : x
  2. Step 2: Convert to fraction form
    26,981/59,278 = 59,278/x
  3. Step 3: Cross multiply
    26,981x = 59,278 × 59,278
  4. Step 4: Simplify right side
    26,981x = 3,513,881,284
  5. Step 5: Solve for x
    x = 3,513,881,284/26,981
  6. Step 6: Final answer
    x = 130,235.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.