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Finding the Third Proportional to 19,033 and 40,118

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Solution

The third proportional to 19,033 and 40,118 is: 84,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,033 : 40,118 = 40,118 : x
  2. Step 2: Convert to fraction form
    19,033/40,118 = 40,118/x
  3. Step 3: Cross multiply
    19,033x = 40,118 × 40,118
  4. Step 4: Simplify right side
    19,033x = 1,609,453,924
  5. Step 5: Solve for x
    x = 1,609,453,924/19,033
  6. Step 6: Final answer
    x = 84,561.23

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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.