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Finding the Third Proportional to 31,202 and 46,620

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Solution

The third proportional to 31,202 and 46,620 is: 69,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202 : 46,620 = 46,620 : x
  2. Step 2: Convert to fraction form
    31,202/46,620 = 46,620/x
  3. Step 3: Cross multiply
    31,202x = 46,620 × 46,620
  4. Step 4: Simplify right side
    31,202x = 2,173,424,400
  5. Step 5: Solve for x
    x = 2,173,424,400/31,202
  6. Step 6: Final answer
    x = 69,656.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.