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Finding the Third Proportional to 26,658 and 58,338

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Solution

The third proportional to 26,658 and 58,338 is: 127,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,658 : 58,338 = 58,338 : x
  2. Step 2: Convert to fraction form
    26,658/58,338 = 58,338/x
  3. Step 3: Cross multiply
    26,658x = 58,338 × 58,338
  4. Step 4: Simplify right side
    26,658x = 3,403,322,244
  5. Step 5: Solve for x
    x = 3,403,322,244/26,658
  6. Step 6: Final answer
    x = 127,666.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.