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Finding the Third Proportional to 5,052.38 and 5,970.38

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Solution

The third proportional to 5,052.38 and 5,970.38 is: 7,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.38 : 5,970.38 = 5,970.38 : x
  2. Step 2: Convert to fraction form
    5,052.38/5,970.38 = 5,970.38/x
  3. Step 3: Cross multiply
    5,052.38x = 5,970.38 × 5,970.38
  4. Step 4: Simplify right side
    5,052.38x = 35,645,377.64
  5. Step 5: Solve for x
    x = 35,645,377.64/5,052.38
  6. Step 6: Final answer
    x = 7,055.17

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.