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Finding the Third Proportional to 46,216.13 and 66,772.13

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Solution

The third proportional to 46,216.13 and 66,772.13 is: 96,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,216.13 : 66,772.13 = 66,772.13 : x
  2. Step 2: Convert to fraction form
    46,216.13/66,772.13 = 66,772.13/x
  3. Step 3: Cross multiply
    46,216.13x = 66,772.13 × 66,772.13
  4. Step 4: Simplify right side
    46,216.13x = 4,458,516,677.02
  5. Step 5: Solve for x
    x = 4,458,516,677.02/46,216.13
  6. Step 6: Final answer
    x = 96,471.02

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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.