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Finding the Third Proportional to 2,283.19 and 3,971.53

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Solution

The third proportional to 2,283.19 and 3,971.53 is: 6,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.19 : 3,971.53 = 3,971.53 : x
  2. Step 2: Convert to fraction form
    2,283.19/3,971.53 = 3,971.53/x
  3. Step 3: Cross multiply
    2,283.19x = 3,971.53 × 3,971.53
  4. Step 4: Simplify right side
    2,283.19x = 15,773,060.47
  5. Step 5: Solve for x
    x = 15,773,060.47/2,283.19
  6. Step 6: Final answer
    x = 6,908.35

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.