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Finding the Third Proportional to 46,587.75 and 72,272.25

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Solution

The third proportional to 46,587.75 and 72,272.25 is: 112,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,587.75 : 72,272.25 = 72,272.25 : x
  2. Step 2: Convert to fraction form
    46,587.75/72,272.25 = 72,272.25/x
  3. Step 3: Cross multiply
    46,587.75x = 72,272.25 × 72,272.25
  4. Step 4: Simplify right side
    46,587.75x = 5,223,278,120.06
  5. Step 5: Solve for x
    x = 5,223,278,120.06/46,587.75
  6. Step 6: Final answer
    x = 112,116.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.