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Finding the Third Proportional to 19,317.23 and 40,114.30

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Solution

The third proportional to 19,317.23 and 40,114.30 is: 83,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,317.23 : 40,114.30 = 40,114.30 : x
  2. Step 2: Convert to fraction form
    19,317.23/40,114.30 = 40,114.30/x
  3. Step 3: Cross multiply
    19,317.23x = 40,114.30 × 40,114.30
  4. Step 4: Simplify right side
    19,317.23x = 1,609,157,127.17
  5. Step 5: Solve for x
    x = 1,609,157,127.17/19,317.23
  6. Step 6: Final answer
    x = 83,301.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.