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Finding the Third Proportional to 29,260 and 66,994

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Solution

The third proportional to 29,260 and 66,994 is: 153,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,260 : 66,994 = 66,994 : x
  2. Step 2: Convert to fraction form
    29,260/66,994 = 66,994/x
  3. Step 3: Cross multiply
    29,260x = 66,994 × 66,994
  4. Step 4: Simplify right side
    29,260x = 4,488,196,036
  5. Step 5: Solve for x
    x = 4,488,196,036/29,260
  6. Step 6: Final answer
    x = 153,390.16

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.