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Finding the Third Proportional to 46,717.50 and 67,154.25

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Solution

The third proportional to 46,717.50 and 67,154.25 is: 96,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,717.50 : 67,154.25 = 67,154.25 : x
  2. Step 2: Convert to fraction form
    46,717.50/67,154.25 = 67,154.25/x
  3. Step 3: Cross multiply
    46,717.50x = 67,154.25 × 67,154.25
  4. Step 4: Simplify right side
    46,717.50x = 4,509,693,293.06
  5. Step 5: Solve for x
    x = 4,509,693,293.06/46,717.50
  6. Step 6: Final answer
    x = 96,531.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.