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Finding the Third Proportional to 4,703.06 and 9,287.16

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Solution

The third proportional to 4,703.06 and 9,287.16 is: 18,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.06 : 9,287.16 = 9,287.16 : x
  2. Step 2: Convert to fraction form
    4,703.06/9,287.16 = 9,287.16/x
  3. Step 3: Cross multiply
    4,703.06x = 9,287.16 × 9,287.16
  4. Step 4: Simplify right side
    4,703.06x = 86,251,271.21
  5. Step 5: Solve for x
    x = 86,251,271.21/4,703.06
  6. Step 6: Final answer
    x = 18,339.38

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.