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Finding the Third Proportional to 29,740 and 66,040

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Solution

The third proportional to 29,740 and 66,040 is: 146,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740 : 66,040 = 66,040 : x
  2. Step 2: Convert to fraction form
    29,740/66,040 = 66,040/x
  3. Step 3: Cross multiply
    29,740x = 66,040 × 66,040
  4. Step 4: Simplify right side
    29,740x = 4,361,281,600
  5. Step 5: Solve for x
    x = 4,361,281,600/29,740
  6. Step 6: Final answer
    x = 146,646.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.