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Finding the Third Proportional to 46,410 and 74,727

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Solution

The third proportional to 46,410 and 74,727 is: 120,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410 : 74,727 = 74,727 : x
  2. Step 2: Convert to fraction form
    46,410/74,727 = 74,727/x
  3. Step 3: Cross multiply
    46,410x = 74,727 × 74,727
  4. Step 4: Simplify right side
    46,410x = 5,584,124,529
  5. Step 5: Solve for x
    x = 5,584,124,529/46,410
  6. Step 6: Final answer
    x = 120,321.58

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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.