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Finding the Third Proportional to 5,829 and 9,040.50

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Solution

The third proportional to 5,829 and 9,040.50 is: 14,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829 : 9,040.50 = 9,040.50 : x
  2. Step 2: Convert to fraction form
    5,829/9,040.50 = 9,040.50/x
  3. Step 3: Cross multiply
    5,829x = 9,040.50 × 9,040.50
  4. Step 4: Simplify right side
    5,829x = 81,730,640.25
  5. Step 5: Solve for x
    x = 81,730,640.25/5,829
  6. Step 6: Final answer
    x = 14,021.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.