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Finding the Third Proportional to 31,476 and 46,208

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Solution

The third proportional to 31,476 and 46,208 is: 67,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476 : 46,208 = 46,208 : x
  2. Step 2: Convert to fraction form
    31,476/46,208 = 46,208/x
  3. Step 3: Cross multiply
    31,476x = 46,208 × 46,208
  4. Step 4: Simplify right side
    31,476x = 2,135,179,264
  5. Step 5: Solve for x
    x = 2,135,179,264/31,476
  6. Step 6: Final answer
    x = 67,835.15

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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.