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Finding the Third Proportional to 5,484.94 and 7,817.06

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Solution

The third proportional to 5,484.94 and 7,817.06 is: 11,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.94 : 7,817.06 = 7,817.06 : x
  2. Step 2: Convert to fraction form
    5,484.94/7,817.06 = 7,817.06/x
  3. Step 3: Cross multiply
    5,484.94x = 7,817.06 × 7,817.06
  4. Step 4: Simplify right side
    5,484.94x = 61,106,466.13
  5. Step 5: Solve for x
    x = 61,106,466.13/5,484.94
  6. Step 6: Final answer
    x = 11,140.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.