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Finding the Third Proportional to 32,696.16 and 49,284.70

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Solution

The third proportional to 32,696.16 and 49,284.70 is: 74,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696.16 : 49,284.70 = 49,284.70 : x
  2. Step 2: Convert to fraction form
    32,696.16/49,284.70 = 49,284.70/x
  3. Step 3: Cross multiply
    32,696.16x = 49,284.70 × 49,284.70
  4. Step 4: Simplify right side
    32,696.16x = 2,428,981,962.12
  5. Step 5: Solve for x
    x = 2,428,981,962.12/32,696.16
  6. Step 6: Final answer
    x = 74,289.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.