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Finding the Third Proportional to 31,805 and 46,735

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Solution

The third proportional to 31,805 and 46,735 is: 68,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805 : 46,735 = 46,735 : x
  2. Step 2: Convert to fraction form
    31,805/46,735 = 46,735/x
  3. Step 3: Cross multiply
    31,805x = 46,735 × 46,735
  4. Step 4: Simplify right side
    31,805x = 2,184,160,225
  5. Step 5: Solve for x
    x = 2,184,160,225/31,805
  6. Step 6: Final answer
    x = 68,673.49

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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.