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Finding the Third Proportional to 46,662 and 69,237

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Solution

The third proportional to 46,662 and 69,237 is: 102,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,662 : 69,237 = 69,237 : x
  2. Step 2: Convert to fraction form
    46,662/69,237 = 69,237/x
  3. Step 3: Cross multiply
    46,662x = 69,237 × 69,237
  4. Step 4: Simplify right side
    46,662x = 4,793,762,169
  5. Step 5: Solve for x
    x = 4,793,762,169/46,662
  6. Step 6: Final answer
    x = 102,733.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.