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Finding the Third Proportional to 7,253.63 and 15,380.63

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Solution

The third proportional to 7,253.63 and 15,380.63 is: 32,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.63 : 15,380.63 = 15,380.63 : x
  2. Step 2: Convert to fraction form
    7,253.63/15,380.63 = 15,380.63/x
  3. Step 3: Cross multiply
    7,253.63x = 15,380.63 × 15,380.63
  4. Step 4: Simplify right side
    7,253.63x = 236,563,625.39
  5. Step 5: Solve for x
    x = 236,563,625.39/7,253.63
  6. Step 6: Final answer
    x = 32,613.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.