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Finding the Third Proportional to 2,951.81 and 4,607.13

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Solution

The third proportional to 2,951.81 and 4,607.13 is: 7,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.81 : 4,607.13 = 4,607.13 : x
  2. Step 2: Convert to fraction form
    2,951.81/4,607.13 = 4,607.13/x
  3. Step 3: Cross multiply
    2,951.81x = 4,607.13 × 4,607.13
  4. Step 4: Simplify right side
    2,951.81x = 21,225,600.77
  5. Step 5: Solve for x
    x = 21,225,600.77/2,951.81
  6. Step 6: Final answer
    x = 7,190.70

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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.