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Finding the Third Proportional to 26,947 and 58,196

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Solution

The third proportional to 26,947 and 58,196 is: 125,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,947 : 58,196 = 58,196 : x
  2. Step 2: Convert to fraction form
    26,947/58,196 = 58,196/x
  3. Step 3: Cross multiply
    26,947x = 58,196 × 58,196
  4. Step 4: Simplify right side
    26,947x = 3,386,774,416
  5. Step 5: Solve for x
    x = 3,386,774,416/26,947
  6. Step 6: Final answer
    x = 125,682.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.