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Finding the Third Proportional to 24,026.63 and 51,180.19

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Solution

The third proportional to 24,026.63 and 51,180.19 is: 109,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,026.63 : 51,180.19 = 51,180.19 : x
  2. Step 2: Convert to fraction form
    24,026.63/51,180.19 = 51,180.19/x
  3. Step 3: Cross multiply
    24,026.63x = 51,180.19 × 51,180.19
  4. Step 4: Simplify right side
    24,026.63x = 2,619,411,592.54
  5. Step 5: Solve for x
    x = 2,619,411,592.54/24,026.63
  6. Step 6: Final answer
    x = 109,021.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.