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Finding the Third Proportional to 5,940 and 9,405.28

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Solution

The third proportional to 5,940 and 9,405.28 is: 14,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 9,405.28 = 9,405.28 : x
  2. Step 2: Convert to fraction form
    5,940/9,405.28 = 9,405.28/x
  3. Step 3: Cross multiply
    5,940x = 9,405.28 × 9,405.28
  4. Step 4: Simplify right side
    5,940x = 88,459,315.39
  5. Step 5: Solve for x
    x = 88,459,315.39/5,940
  6. Step 6: Final answer
    x = 14,892.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.