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Finding the Third Proportional to 14,634 and 32,543.44

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Solution

The third proportional to 14,634 and 32,543.44 is: 72,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634 : 32,543.44 = 32,543.44 : x
  2. Step 2: Convert to fraction form
    14,634/32,543.44 = 32,543.44/x
  3. Step 3: Cross multiply
    14,634x = 32,543.44 × 32,543.44
  4. Step 4: Simplify right side
    14,634x = 1,059,075,324.32
  5. Step 5: Solve for x
    x = 1,059,075,324.32/14,634
  6. Step 6: Final answer
    x = 72,370.87

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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.