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Finding the Third Proportional to 3,590.16 and 5,389.03

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Solution

The third proportional to 3,590.16 and 5,389.03 is: 8,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.16 : 5,389.03 = 5,389.03 : x
  2. Step 2: Convert to fraction form
    3,590.16/5,389.03 = 5,389.03/x
  3. Step 3: Cross multiply
    3,590.16x = 5,389.03 × 5,389.03
  4. Step 4: Simplify right side
    3,590.16x = 29,041,657.81
  5. Step 5: Solve for x
    x = 29,041,657.81/3,590.16
  6. Step 6: Final answer
    x = 8,089.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.