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Finding the Third Proportional to 1,592.63 and 3,403.22

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Solution

The third proportional to 1,592.63 and 3,403.22 is: 7,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.63 : 3,403.22 = 3,403.22 : x
  2. Step 2: Convert to fraction form
    1,592.63/3,403.22 = 3,403.22/x
  3. Step 3: Cross multiply
    1,592.63x = 3,403.22 × 3,403.22
  4. Step 4: Simplify right side
    1,592.63x = 11,581,897.86
  5. Step 5: Solve for x
    x = 11,581,897.86/1,592.63
  6. Step 6: Final answer
    x = 7,272.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.