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Finding the Third Proportional to 46,577 and 71,680

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Solution

The third proportional to 46,577 and 71,680 is: 110,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,577 : 71,680 = 71,680 : x
  2. Step 2: Convert to fraction form
    46,577/71,680 = 71,680/x
  3. Step 3: Cross multiply
    46,577x = 71,680 × 71,680
  4. Step 4: Simplify right side
    46,577x = 5,138,022,400
  5. Step 5: Solve for x
    x = 5,138,022,400/46,577
  6. Step 6: Final answer
    x = 110,312.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.