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Finding the Third Proportional to 7,345.69 and 13,165.03

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Solution

The third proportional to 7,345.69 and 13,165.03 is: 23,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.69 : 13,165.03 = 13,165.03 : x
  2. Step 2: Convert to fraction form
    7,345.69/13,165.03 = 13,165.03/x
  3. Step 3: Cross multiply
    7,345.69x = 13,165.03 × 13,165.03
  4. Step 4: Simplify right side
    7,345.69x = 173,318,047.81
  5. Step 5: Solve for x
    x = 173,318,047.81/7,345.69
  6. Step 6: Final answer
    x = 23,594.53

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.