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Finding the Third Proportional to 7,335.56 and 11,276.72

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Solution

The third proportional to 7,335.56 and 11,276.72 is: 17,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.56 : 11,276.72 = 11,276.72 : x
  2. Step 2: Convert to fraction form
    7,335.56/11,276.72 = 11,276.72/x
  3. Step 3: Cross multiply
    7,335.56x = 11,276.72 × 11,276.72
  4. Step 4: Simplify right side
    7,335.56x = 127,164,385.77
  5. Step 5: Solve for x
    x = 127,164,385.77/7,335.56
  6. Step 6: Final answer
    x = 17,335.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.