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Finding the Third Proportional to 29,916 and 64,785

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Solution

The third proportional to 29,916 and 64,785 is: 140,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,916 : 64,785 = 64,785 : x
  2. Step 2: Convert to fraction form
    29,916/64,785 = 64,785/x
  3. Step 3: Cross multiply
    29,916x = 64,785 × 64,785
  4. Step 4: Simplify right side
    29,916x = 4,197,096,225
  5. Step 5: Solve for x
    x = 4,197,096,225/29,916
  6. Step 6: Final answer
    x = 140,296.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.