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Finding the Third Proportional to 12,737.57 and 27,935.51

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Solution

The third proportional to 12,737.57 and 27,935.51 is: 61,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.57 : 27,935.51 = 27,935.51 : x
  2. Step 2: Convert to fraction form
    12,737.57/27,935.51 = 27,935.51/x
  3. Step 3: Cross multiply
    12,737.57x = 27,935.51 × 27,935.51
  4. Step 4: Simplify right side
    12,737.57x = 780,392,596.74
  5. Step 5: Solve for x
    x = 780,392,596.74/12,737.57
  6. Step 6: Final answer
    x = 61,267.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.