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Finding the Third Proportional to 31,865 and 46,670.50

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Solution

The third proportional to 31,865 and 46,670.50 is: 68,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,865 : 46,670.50 = 46,670.50 : x
  2. Step 2: Convert to fraction form
    31,865/46,670.50 = 46,670.50/x
  3. Step 3: Cross multiply
    31,865x = 46,670.50 × 46,670.50
  4. Step 4: Simplify right side
    31,865x = 2,178,135,570.25
  5. Step 5: Solve for x
    x = 2,178,135,570.25/31,865
  6. Step 6: Final answer
    x = 68,355.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.