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Finding the Third Proportional to 46,440 and 72,000

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Solution

The third proportional to 46,440 and 72,000 is: 111,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,440 : 72,000 = 72,000 : x
  2. Step 2: Convert to fraction form
    46,440/72,000 = 72,000/x
  3. Step 3: Cross multiply
    46,440x = 72,000 × 72,000
  4. Step 4: Simplify right side
    46,440x = 5,184,000,000
  5. Step 5: Solve for x
    x = 5,184,000,000/46,440
  6. Step 6: Final answer
    x = 111,627.91

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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.