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Finding the Third Proportional to 7,335.56 and 16,308.84

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Solution

The third proportional to 7,335.56 and 16,308.84 is: 36,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.56 : 16,308.84 = 16,308.84 : x
  2. Step 2: Convert to fraction form
    7,335.56/16,308.84 = 16,308.84/x
  3. Step 3: Cross multiply
    7,335.56x = 16,308.84 × 16,308.84
  4. Step 4: Simplify right side
    7,335.56x = 265,978,384.46
  5. Step 5: Solve for x
    x = 265,978,384.46/7,335.56
  6. Step 6: Final answer
    x = 36,258.76

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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.