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Finding the Third Proportional to 32,716 and 69,784

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Solution

The third proportional to 32,716 and 69,784 is: 148,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716 : 69,784 = 69,784 : x
  2. Step 2: Convert to fraction form
    32,716/69,784 = 69,784/x
  3. Step 3: Cross multiply
    32,716x = 69,784 × 69,784
  4. Step 4: Simplify right side
    32,716x = 4,869,806,656
  5. Step 5: Solve for x
    x = 4,869,806,656/32,716
  6. Step 6: Final answer
    x = 148,850.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.