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Finding the Third Proportional to 26,565 and 41,459

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Solution

The third proportional to 26,565 and 41,459 is: 64,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,565 : 41,459 = 41,459 : x
  2. Step 2: Convert to fraction form
    26,565/41,459 = 41,459/x
  3. Step 3: Cross multiply
    26,565x = 41,459 × 41,459
  4. Step 4: Simplify right side
    26,565x = 1,718,848,681
  5. Step 5: Solve for x
    x = 1,718,848,681/26,565
  6. Step 6: Final answer
    x = 64,703.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.