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Finding the Third Proportional to 19,964 and 29,226

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Solution

The third proportional to 19,964 and 29,226 is: 42,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964 : 29,226 = 29,226 : x
  2. Step 2: Convert to fraction form
    19,964/29,226 = 29,226/x
  3. Step 3: Cross multiply
    19,964x = 29,226 × 29,226
  4. Step 4: Simplify right side
    19,964x = 854,159,076
  5. Step 5: Solve for x
    x = 854,159,076/19,964
  6. Step 6: Final answer
    x = 42,784.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.