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Finding the Third Proportional to 1,583.53 and 3,437.34

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Solution

The third proportional to 1,583.53 and 3,437.34 is: 7,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.53 : 3,437.34 = 3,437.34 : x
  2. Step 2: Convert to fraction form
    1,583.53/3,437.34 = 3,437.34/x
  3. Step 3: Cross multiply
    1,583.53x = 3,437.34 × 3,437.34
  4. Step 4: Simplify right side
    1,583.53x = 11,815,332.06
  5. Step 5: Solve for x
    x = 11,815,332.06/1,583.53
  6. Step 6: Final answer
    x = 7,461.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.