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Finding the Third Proportional to 46,843.50 and 67,713

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Solution

The third proportional to 46,843.50 and 67,713 is: 97,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,843.50 : 67,713 = 67,713 : x
  2. Step 2: Convert to fraction form
    46,843.50/67,713 = 67,713/x
  3. Step 3: Cross multiply
    46,843.50x = 67,713 × 67,713
  4. Step 4: Simplify right side
    46,843.50x = 4,585,050,369
  5. Step 5: Solve for x
    x = 4,585,050,369/46,843.50
  6. Step 6: Final answer
    x = 97,880.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.