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Finding the Third Proportional to 29,846 and 63,789

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Solution

The third proportional to 29,846 and 63,789 is: 136,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846 : 63,789 = 63,789 : x
  2. Step 2: Convert to fraction form
    29,846/63,789 = 63,789/x
  3. Step 3: Cross multiply
    29,846x = 63,789 × 63,789
  4. Step 4: Simplify right side
    29,846x = 4,069,036,521
  5. Step 5: Solve for x
    x = 4,069,036,521/29,846
  6. Step 6: Final answer
    x = 136,334.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.