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Finding the Third Proportional to 26,726 and 58,465

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Solution

The third proportional to 26,726 and 58,465 is: 127,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,726 : 58,465 = 58,465 : x
  2. Step 2: Convert to fraction form
    26,726/58,465 = 58,465/x
  3. Step 3: Cross multiply
    26,726x = 58,465 × 58,465
  4. Step 4: Simplify right side
    26,726x = 3,418,156,225
  5. Step 5: Solve for x
    x = 3,418,156,225/26,726
  6. Step 6: Final answer
    x = 127,896.29

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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.