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Finding the Third Proportional to 26,486 and 58,030

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Solution

The third proportional to 26,486 and 58,030 is: 127,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486 : 58,030 = 58,030 : x
  2. Step 2: Convert to fraction form
    26,486/58,030 = 58,030/x
  3. Step 3: Cross multiply
    26,486x = 58,030 × 58,030
  4. Step 4: Simplify right side
    26,486x = 3,367,480,900
  5. Step 5: Solve for x
    x = 3,367,480,900/26,486
  6. Step 6: Final answer
    x = 127,141.92

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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.