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Finding the Third Proportional to 7,456.88 and 16,253.63

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Solution

The third proportional to 7,456.88 and 16,253.63 is: 35,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.88 : 16,253.63 = 16,253.63 : x
  2. Step 2: Convert to fraction form
    7,456.88/16,253.63 = 16,253.63/x
  3. Step 3: Cross multiply
    7,456.88x = 16,253.63 × 16,253.63
  4. Step 4: Simplify right side
    7,456.88x = 264,180,325.64
  5. Step 5: Solve for x
    x = 264,180,325.64/7,456.88
  6. Step 6: Final answer
    x = 35,427.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.