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Finding the Third Proportional to 29,715 and 65,261

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Solution

The third proportional to 29,715 and 65,261 is: 143,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715 : 65,261 = 65,261 : x
  2. Step 2: Convert to fraction form
    29,715/65,261 = 65,261/x
  3. Step 3: Cross multiply
    29,715x = 65,261 × 65,261
  4. Step 4: Simplify right side
    29,715x = 4,258,998,121
  5. Step 5: Solve for x
    x = 4,258,998,121/29,715
  6. Step 6: Final answer
    x = 143,328.22

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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.