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Finding the Third Proportional to 29,714 and 65,260

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Solution

The third proportional to 29,714 and 65,260 is: 143,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714 : 65,260 = 65,260 : x
  2. Step 2: Convert to fraction form
    29,714/65,260 = 65,260/x
  3. Step 3: Cross multiply
    29,714x = 65,260 × 65,260
  4. Step 4: Simplify right side
    29,714x = 4,258,867,600
  5. Step 5: Solve for x
    x = 4,258,867,600/29,714
  6. Step 6: Final answer
    x = 143,328.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.