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Finding the Third Proportional to 4,780.69 and 7,360.03

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Solution

The third proportional to 4,780.69 and 7,360.03 is: 11,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.69 : 7,360.03 = 7,360.03 : x
  2. Step 2: Convert to fraction form
    4,780.69/7,360.03 = 7,360.03/x
  3. Step 3: Cross multiply
    4,780.69x = 7,360.03 × 7,360.03
  4. Step 4: Simplify right side
    4,780.69x = 54,170,060.00
  5. Step 5: Solve for x
    x = 54,170,060.00/4,780.69
  6. Step 6: Final answer
    x = 11,331.02

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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.