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Finding the Third Proportional to 29,392 and 61,664

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Solution

The third proportional to 29,392 and 61,664 is: 129,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,392 : 61,664 = 61,664 : x
  2. Step 2: Convert to fraction form
    29,392/61,664 = 61,664/x
  3. Step 3: Cross multiply
    29,392x = 61,664 × 61,664
  4. Step 4: Simplify right side
    29,392x = 3,802,448,896
  5. Step 5: Solve for x
    x = 3,802,448,896/29,392
  6. Step 6: Final answer
    x = 129,370.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.