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Finding the Third Proportional to 32,020 and 68,784

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Solution

The third proportional to 32,020 and 68,784 is: 147,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020 : 68,784 = 68,784 : x
  2. Step 2: Convert to fraction form
    32,020/68,784 = 68,784/x
  3. Step 3: Cross multiply
    32,020x = 68,784 × 68,784
  4. Step 4: Simplify right side
    32,020x = 4,731,238,656
  5. Step 5: Solve for x
    x = 4,731,238,656/32,020
  6. Step 6: Final answer
    x = 147,758.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.