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Finding the Third Proportional to 19,518 and 43,402.50

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Solution

The third proportional to 19,518 and 43,402.50 is: 96,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,518 : 43,402.50 = 43,402.50 : x
  2. Step 2: Convert to fraction form
    19,518/43,402.50 = 43,402.50/x
  3. Step 3: Cross multiply
    19,518x = 43,402.50 × 43,402.50
  4. Step 4: Simplify right side
    19,518x = 1,883,777,006.25
  5. Step 5: Solve for x
    x = 1,883,777,006.25/19,518
  6. Step 6: Final answer
    x = 96,514.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.