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Finding the Third Proportional to 34,264.50 and 46,680

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Solution

The third proportional to 34,264.50 and 46,680 is: 63,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,264.50 : 46,680 = 46,680 : x
  2. Step 2: Convert to fraction form
    34,264.50/46,680 = 46,680/x
  3. Step 3: Cross multiply
    34,264.50x = 46,680 × 46,680
  4. Step 4: Simplify right side
    34,264.50x = 2,179,022,400
  5. Step 5: Solve for x
    x = 2,179,022,400/34,264.50
  6. Step 6: Final answer
    x = 63,594.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.