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Finding the Third Proportional to 46,680 and 70,884

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Solution

The third proportional to 46,680 and 70,884 is: 107,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,680 : 70,884 = 70,884 : x
  2. Step 2: Convert to fraction form
    46,680/70,884 = 70,884/x
  3. Step 3: Cross multiply
    46,680x = 70,884 × 70,884
  4. Step 4: Simplify right side
    46,680x = 5,024,541,456
  5. Step 5: Solve for x
    x = 5,024,541,456/46,680
  6. Step 6: Final answer
    x = 107,637.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.