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Finding the Third Proportional to 22,430.25 and 47,184.19

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Solution

The third proportional to 22,430.25 and 47,184.19 is: 99,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.25 : 47,184.19 = 47,184.19 : x
  2. Step 2: Convert to fraction form
    22,430.25/47,184.19 = 47,184.19/x
  3. Step 3: Cross multiply
    22,430.25x = 47,184.19 × 47,184.19
  4. Step 4: Simplify right side
    22,430.25x = 2,226,347,550.04
  5. Step 5: Solve for x
    x = 2,226,347,550.04/22,430.25
  6. Step 6: Final answer
    x = 99,256.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.