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Finding the Third Proportional to 29,838 and 64,496

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Solution

The third proportional to 29,838 and 64,496 is: 139,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838 : 64,496 = 64,496 : x
  2. Step 2: Convert to fraction form
    29,838/64,496 = 64,496/x
  3. Step 3: Cross multiply
    29,838x = 64,496 × 64,496
  4. Step 4: Simplify right side
    29,838x = 4,159,734,016
  5. Step 5: Solve for x
    x = 4,159,734,016/29,838
  6. Step 6: Final answer
    x = 139,410.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.