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Finding the Third Proportional to 4,746.09 and 7,079.91

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Solution

The third proportional to 4,746.09 and 7,079.91 is: 10,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.09 : 7,079.91 = 7,079.91 : x
  2. Step 2: Convert to fraction form
    4,746.09/7,079.91 = 7,079.91/x
  3. Step 3: Cross multiply
    4,746.09x = 7,079.91 × 7,079.91
  4. Step 4: Simplify right side
    4,746.09x = 50,125,072.51
  5. Step 5: Solve for x
    x = 50,125,072.51/4,746.09
  6. Step 6: Final answer
    x = 10,561.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.