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Finding the Third Proportional to 32,706 and 69,768

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Solution

The third proportional to 32,706 and 69,768 is: 148,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706 : 69,768 = 69,768 : x
  2. Step 2: Convert to fraction form
    32,706/69,768 = 69,768/x
  3. Step 3: Cross multiply
    32,706x = 69,768 × 69,768
  4. Step 4: Simplify right side
    32,706x = 4,867,573,824
  5. Step 5: Solve for x
    x = 4,867,573,824/32,706
  6. Step 6: Final answer
    x = 148,828.16

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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.