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Finding the Third Proportional to 31,816 and 46,750

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Solution

The third proportional to 31,816 and 46,750 is: 68,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816 : 46,750 = 46,750 : x
  2. Step 2: Convert to fraction form
    31,816/46,750 = 46,750/x
  3. Step 3: Cross multiply
    31,816x = 46,750 × 46,750
  4. Step 4: Simplify right side
    31,816x = 2,185,562,500
  5. Step 5: Solve for x
    x = 2,185,562,500/31,816
  6. Step 6: Final answer
    x = 68,693.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.