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Finding the Third Proportional to 13,058 and 19,646

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Solution

The third proportional to 13,058 and 19,646 is: 29,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058 : 19,646 = 19,646 : x
  2. Step 2: Convert to fraction form
    13,058/19,646 = 19,646/x
  3. Step 3: Cross multiply
    13,058x = 19,646 × 19,646
  4. Step 4: Simplify right side
    13,058x = 385,965,316
  5. Step 5: Solve for x
    x = 385,965,316/13,058
  6. Step 6: Final answer
    x = 29,557.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.