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Finding the Third Proportional to 19,328.50 and 29,866

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Solution

The third proportional to 19,328.50 and 29,866 is: 46,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,328.50 : 29,866 = 29,866 : x
  2. Step 2: Convert to fraction form
    19,328.50/29,866 = 29,866/x
  3. Step 3: Cross multiply
    19,328.50x = 29,866 × 29,866
  4. Step 4: Simplify right side
    19,328.50x = 891,977,956
  5. Step 5: Solve for x
    x = 891,977,956/19,328.50
  6. Step 6: Final answer
    x = 46,148.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.