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Finding the Third Proportional to 26,368 and 35,796

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Solution

The third proportional to 26,368 and 35,796 is: 48,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,368 : 35,796 = 35,796 : x
  2. Step 2: Convert to fraction form
    26,368/35,796 = 35,796/x
  3. Step 3: Cross multiply
    26,368x = 35,796 × 35,796
  4. Step 4: Simplify right side
    26,368x = 1,281,353,616
  5. Step 5: Solve for x
    x = 1,281,353,616/26,368
  6. Step 6: Final answer
    x = 48,595.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.