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Finding the Third Proportional to 5,389.03 and 9,156.80

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Solution

The third proportional to 5,389.03 and 9,156.80 is: 15,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.03 : 9,156.80 = 9,156.80 : x
  2. Step 2: Convert to fraction form
    5,389.03/9,156.80 = 9,156.80/x
  3. Step 3: Cross multiply
    5,389.03x = 9,156.80 × 9,156.80
  4. Step 4: Simplify right side
    5,389.03x = 83,846,929.01
  5. Step 5: Solve for x
    x = 83,846,929.01/5,389.03
  6. Step 6: Final answer
    x = 15,558.81

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.