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Finding the Third Proportional to 19,031 and 40,113.50

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Solution

The third proportional to 19,031 and 40,113.50 is: 84,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,031 : 40,113.50 = 40,113.50 : x
  2. Step 2: Convert to fraction form
    19,031/40,113.50 = 40,113.50/x
  3. Step 3: Cross multiply
    19,031x = 40,113.50 × 40,113.50
  4. Step 4: Simplify right side
    19,031x = 1,609,092,882.25
  5. Step 5: Solve for x
    x = 1,609,092,882.25/19,031
  6. Step 6: Final answer
    x = 84,551.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.