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Finding the Third Proportional to 33,465 and 49,023

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Solution

The third proportional to 33,465 and 49,023 is: 71,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465 : 49,023 = 49,023 : x
  2. Step 2: Convert to fraction form
    33,465/49,023 = 49,023/x
  3. Step 3: Cross multiply
    33,465x = 49,023 × 49,023
  4. Step 4: Simplify right side
    33,465x = 2,403,254,529
  5. Step 5: Solve for x
    x = 2,403,254,529/33,465
  6. Step 6: Final answer
    x = 71,813.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.