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Finding the Third Proportional to 49,646.50 and 69,447.75

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Solution

The third proportional to 49,646.50 and 69,447.75 is: 97,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,646.50 : 69,447.75 = 69,447.75 : x
  2. Step 2: Convert to fraction form
    49,646.50/69,447.75 = 69,447.75/x
  3. Step 3: Cross multiply
    49,646.50x = 69,447.75 × 69,447.75
  4. Step 4: Simplify right side
    49,646.50x = 4,822,989,980.06
  5. Step 5: Solve for x
    x = 4,822,989,980.06/49,646.50
  6. Step 6: Final answer
    x = 97,146.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.