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Finding the Third Proportional to 1,946.53 and 5,270.06

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Solution

The third proportional to 1,946.53 and 5,270.06 is: 14,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.53 : 5,270.06 = 5,270.06 : x
  2. Step 2: Convert to fraction form
    1,946.53/5,270.06 = 5,270.06/x
  3. Step 3: Cross multiply
    1,946.53x = 5,270.06 × 5,270.06
  4. Step 4: Simplify right side
    1,946.53x = 27,773,558.75
  5. Step 5: Solve for x
    x = 27,773,558.75/1,946.53
  6. Step 6: Final answer
    x = 14,268.23

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.