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Finding the Third Proportional to 35,716 and 51,023

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Solution

The third proportional to 35,716 and 51,023 is: 72,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,716 : 51,023 = 51,023 : x
  2. Step 2: Convert to fraction form
    35,716/51,023 = 51,023/x
  3. Step 3: Cross multiply
    35,716x = 51,023 × 51,023
  4. Step 4: Simplify right side
    35,716x = 2,603,346,529
  5. Step 5: Solve for x
    x = 2,603,346,529/35,716
  6. Step 6: Final answer
    x = 72,890.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.