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Finding the Third Proportional to 2,445.96 and 3,715.63

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Solution

The third proportional to 2,445.96 and 3,715.63 is: 5,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.96 : 3,715.63 = 3,715.63 : x
  2. Step 2: Convert to fraction form
    2,445.96/3,715.63 = 3,715.63/x
  3. Step 3: Cross multiply
    2,445.96x = 3,715.63 × 3,715.63
  4. Step 4: Simplify right side
    2,445.96x = 13,805,898.17
  5. Step 5: Solve for x
    x = 13,805,898.17/2,445.96
  6. Step 6: Final answer
    x = 5,644.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.