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Finding the Third Proportional to 31,806 and 46,737

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Solution

The third proportional to 31,806 and 46,737 is: 68,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806 : 46,737 = 46,737 : x
  2. Step 2: Convert to fraction form
    31,806/46,737 = 46,737/x
  3. Step 3: Cross multiply
    31,806x = 46,737 × 46,737
  4. Step 4: Simplify right side
    31,806x = 2,184,347,169
  5. Step 5: Solve for x
    x = 2,184,347,169/31,806
  6. Step 6: Final answer
    x = 68,677.20

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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.