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Finding the Third Proportional to 4,703.06 and 7,335.56

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Solution

The third proportional to 4,703.06 and 7,335.56 is: 11,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.06 : 7,335.56 = 7,335.56 : x
  2. Step 2: Convert to fraction form
    4,703.06/7,335.56 = 7,335.56/x
  3. Step 3: Cross multiply
    4,703.06x = 7,335.56 × 7,335.56
  4. Step 4: Simplify right side
    4,703.06x = 53,810,477.19
  5. Step 5: Solve for x
    x = 53,810,477.19/4,703.06
  6. Step 6: Final answer
    x = 11,441.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.