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Finding the Third Proportional to 8,535.38 and 18,345.38

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Solution

The third proportional to 8,535.38 and 18,345.38 is: 39,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.38 : 18,345.38 = 18,345.38 : x
  2. Step 2: Convert to fraction form
    8,535.38/18,345.38 = 18,345.38/x
  3. Step 3: Cross multiply
    8,535.38x = 18,345.38 × 18,345.38
  4. Step 4: Simplify right side
    8,535.38x = 336,552,783.89
  5. Step 5: Solve for x
    x = 336,552,783.89/8,535.38
  6. Step 6: Final answer
    x = 39,430.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.