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Finding the Third Proportional to 26,599 and 39,385

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Solution

The third proportional to 26,599 and 39,385 is: 58,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,599 : 39,385 = 39,385 : x
  2. Step 2: Convert to fraction form
    26,599/39,385 = 39,385/x
  3. Step 3: Cross multiply
    26,599x = 39,385 × 39,385
  4. Step 4: Simplify right side
    26,599x = 1,551,178,225
  5. Step 5: Solve for x
    x = 1,551,178,225/26,599
  6. Step 6: Final answer
    x = 58,317.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.