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Finding the Third Proportional to 46,808.50 and 66,233

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Solution

The third proportional to 46,808.50 and 66,233 is: 93,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,808.50 : 66,233 = 66,233 : x
  2. Step 2: Convert to fraction form
    46,808.50/66,233 = 66,233/x
  3. Step 3: Cross multiply
    46,808.50x = 66,233 × 66,233
  4. Step 4: Simplify right side
    46,808.50x = 4,386,810,289
  5. Step 5: Solve for x
    x = 4,386,810,289/46,808.50
  6. Step 6: Final answer
    x = 93,718.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.