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Finding the Third Proportional to 15,140.25 and 23,037.75

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Solution

The third proportional to 15,140.25 and 23,037.75 is: 35,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.25 : 23,037.75 = 23,037.75 : x
  2. Step 2: Convert to fraction form
    15,140.25/23,037.75 = 23,037.75/x
  3. Step 3: Cross multiply
    15,140.25x = 23,037.75 × 23,037.75
  4. Step 4: Simplify right side
    15,140.25x = 530,737,925.06
  5. Step 5: Solve for x
    x = 530,737,925.06/15,140.25
  6. Step 6: Final answer
    x = 35,054.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.