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Finding the Third Proportional to 31,515 and 46,650

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Solution

The third proportional to 31,515 and 46,650 is: 69,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,515 : 46,650 = 46,650 : x
  2. Step 2: Convert to fraction form
    31,515/46,650 = 46,650/x
  3. Step 3: Cross multiply
    31,515x = 46,650 × 46,650
  4. Step 4: Simplify right side
    31,515x = 2,176,222,500
  5. Step 5: Solve for x
    x = 2,176,222,500/31,515
  6. Step 6: Final answer
    x = 69,053.55

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