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Finding the Third Proportional to 19,289 and 29,141

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Solution

The third proportional to 19,289 and 29,141 is: 44,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,289 : 29,141 = 29,141 : x
  2. Step 2: Convert to fraction form
    19,289/29,141 = 29,141/x
  3. Step 3: Cross multiply
    19,289x = 29,141 × 29,141
  4. Step 4: Simplify right side
    19,289x = 849,197,881
  5. Step 5: Solve for x
    x = 849,197,881/19,289
  6. Step 6: Final answer
    x = 44,024.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.