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Finding the Third Proportional to 7,444.41 and 15,655.78

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Solution

The third proportional to 7,444.41 and 15,655.78 is: 32,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.41 : 15,655.78 = 15,655.78 : x
  2. Step 2: Convert to fraction form
    7,444.41/15,655.78 = 15,655.78/x
  3. Step 3: Cross multiply
    7,444.41x = 15,655.78 × 15,655.78
  4. Step 4: Simplify right side
    7,444.41x = 245,103,486.55
  5. Step 5: Solve for x
    x = 245,103,486.55/7,444.41
  6. Step 6: Final answer
    x = 32,924.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.