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Finding the Third Proportional to 29,916 and 65,664

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Solution

The third proportional to 29,916 and 65,664 is: 144,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,916 : 65,664 = 65,664 : x
  2. Step 2: Convert to fraction form
    29,916/65,664 = 65,664/x
  3. Step 3: Cross multiply
    29,916x = 65,664 × 65,664
  4. Step 4: Simplify right side
    29,916x = 4,311,760,896
  5. Step 5: Solve for x
    x = 4,311,760,896/29,916
  6. Step 6: Final answer
    x = 144,128.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.