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Finding the Third Proportional to 10,037.25 and 15,575.06

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Solution

The third proportional to 10,037.25 and 15,575.06 is: 24,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.25 : 15,575.06 = 15,575.06 : x
  2. Step 2: Convert to fraction form
    10,037.25/15,575.06 = 15,575.06/x
  3. Step 3: Cross multiply
    10,037.25x = 15,575.06 × 15,575.06
  4. Step 4: Simplify right side
    10,037.25x = 242,582,571.88
  5. Step 5: Solve for x
    x = 242,582,571.88/10,037.25
  6. Step 6: Final answer
    x = 24,168.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.