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Finding the Third Proportional to 15,137.74 and 23,626.37

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Solution

The third proportional to 15,137.74 and 23,626.37 is: 36,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.74 : 23,626.37 = 23,626.37 : x
  2. Step 2: Convert to fraction form
    15,137.74/23,626.37 = 23,626.37/x
  3. Step 3: Cross multiply
    15,137.74x = 23,626.37 × 23,626.37
  4. Step 4: Simplify right side
    15,137.74x = 558,205,411.06
  5. Step 5: Solve for x
    x = 558,205,411.06/15,137.74
  6. Step 6: Final answer
    x = 36,875.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.