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Finding the Third Proportional to 3,461.48 and 7,583.63

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Solution

The third proportional to 3,461.48 and 7,583.63 is: 16,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.48 : 7,583.63 = 7,583.63 : x
  2. Step 2: Convert to fraction form
    3,461.48/7,583.63 = 7,583.63/x
  3. Step 3: Cross multiply
    3,461.48x = 7,583.63 × 7,583.63
  4. Step 4: Simplify right side
    3,461.48x = 57,511,368.14
  5. Step 5: Solve for x
    x = 57,511,368.14/3,461.48
  6. Step 6: Final answer
    x = 16,614.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.