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Finding the Third Proportional to 26,416 and 42,477

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Solution

The third proportional to 26,416 and 42,477 is: 68,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416 : 42,477 = 42,477 : x
  2. Step 2: Convert to fraction form
    26,416/42,477 = 42,477/x
  3. Step 3: Cross multiply
    26,416x = 42,477 × 42,477
  4. Step 4: Simplify right side
    26,416x = 1,804,295,529
  5. Step 5: Solve for x
    x = 1,804,295,529/26,416
  6. Step 6: Final answer
    x = 68,303.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.