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Finding the Third Proportional to 19,614 and 30,010

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Solution

The third proportional to 19,614 and 30,010 is: 45,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614 : 30,010 = 30,010 : x
  2. Step 2: Convert to fraction form
    19,614/30,010 = 30,010/x
  3. Step 3: Cross multiply
    19,614x = 30,010 × 30,010
  4. Step 4: Simplify right side
    19,614x = 900,600,100
  5. Step 5: Solve for x
    x = 900,600,100/19,614
  6. Step 6: Final answer
    x = 45,916.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.