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Finding the Third Proportional to 14,256.19 and 22,363.31

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Solution

The third proportional to 14,256.19 and 22,363.31 is: 35,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.19 : 22,363.31 = 22,363.31 : x
  2. Step 2: Convert to fraction form
    14,256.19/22,363.31 = 22,363.31/x
  3. Step 3: Cross multiply
    14,256.19x = 22,363.31 × 22,363.31
  4. Step 4: Simplify right side
    14,256.19x = 500,117,745.97
  5. Step 5: Solve for x
    x = 500,117,745.97/14,256.19
  6. Step 6: Final answer
    x = 35,080.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.