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Finding the Third Proportional to 5,901.06 and 9,137.51

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Solution

The third proportional to 5,901.06 and 9,137.51 is: 14,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.06 : 9,137.51 = 9,137.51 : x
  2. Step 2: Convert to fraction form
    5,901.06/9,137.51 = 9,137.51/x
  3. Step 3: Cross multiply
    5,901.06x = 9,137.51 × 9,137.51
  4. Step 4: Simplify right side
    5,901.06x = 83,494,015.56
  5. Step 5: Solve for x
    x = 83,494,015.56/5,901.06
  6. Step 6: Final answer
    x = 14,149.00

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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.