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Finding the Third Proportional to 46,662.75 and 68,536.13

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Solution

The third proportional to 46,662.75 and 68,536.13 is: 100,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,662.75 : 68,536.13 = 68,536.13 : x
  2. Step 2: Convert to fraction form
    46,662.75/68,536.13 = 68,536.13/x
  3. Step 3: Cross multiply
    46,662.75x = 68,536.13 × 68,536.13
  4. Step 4: Simplify right side
    46,662.75x = 4,697,200,430.02
  5. Step 5: Solve for x
    x = 4,697,200,430.02/46,662.75
  6. Step 6: Final answer
    x = 100,662.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.