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Finding the Third Proportional to 32,160 and 66,784

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Solution

The third proportional to 32,160 and 66,784 is: 138,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160 : 66,784 = 66,784 : x
  2. Step 2: Convert to fraction form
    32,160/66,784 = 66,784/x
  3. Step 3: Cross multiply
    32,160x = 66,784 × 66,784
  4. Step 4: Simplify right side
    32,160x = 4,460,102,656
  5. Step 5: Solve for x
    x = 4,460,102,656/32,160
  6. Step 6: Final answer
    x = 138,684.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.