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Finding the Third Proportional to 7,352.29 and 15,850.68

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Solution

The third proportional to 7,352.29 and 15,850.68 is: 34,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.29 : 15,850.68 = 15,850.68 : x
  2. Step 2: Convert to fraction form
    7,352.29/15,850.68 = 15,850.68/x
  3. Step 3: Cross multiply
    7,352.29x = 15,850.68 × 15,850.68
  4. Step 4: Simplify right side
    7,352.29x = 251,243,980.77
  5. Step 5: Solve for x
    x = 251,243,980.77/7,352.29
  6. Step 6: Final answer
    x = 34,172.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.