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Finding the Third Proportional to 46,410 and 72,039

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Solution

The third proportional to 46,410 and 72,039 is: 111,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410 : 72,039 = 72,039 : x
  2. Step 2: Convert to fraction form
    46,410/72,039 = 72,039/x
  3. Step 3: Cross multiply
    46,410x = 72,039 × 72,039
  4. Step 4: Simplify right side
    46,410x = 5,189,617,521
  5. Step 5: Solve for x
    x = 5,189,617,521/46,410
  6. Step 6: Final answer
    x = 111,821.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.