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Finding the Third Proportional to 15,170.50 and 23,746.75

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Solution

The third proportional to 15,170.50 and 23,746.75 is: 37,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,170.50 : 23,746.75 = 23,746.75 : x
  2. Step 2: Convert to fraction form
    15,170.50/23,746.75 = 23,746.75/x
  3. Step 3: Cross multiply
    15,170.50x = 23,746.75 × 23,746.75
  4. Step 4: Simplify right side
    15,170.50x = 563,908,135.56
  5. Step 5: Solve for x
    x = 563,908,135.56/15,170.50
  6. Step 6: Final answer
    x = 37,171.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.