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Finding the Third Proportional to 5,038.45 and 6,840.07

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Solution

The third proportional to 5,038.45 and 6,840.07 is: 9,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.45 : 6,840.07 = 6,840.07 : x
  2. Step 2: Convert to fraction form
    5,038.45/6,840.07 = 6,840.07/x
  3. Step 3: Cross multiply
    5,038.45x = 6,840.07 × 6,840.07
  4. Step 4: Simplify right side
    5,038.45x = 46,786,561.88
  5. Step 5: Solve for x
    x = 46,786,561.88/5,038.45
  6. Step 6: Final answer
    x = 9,285.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.