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Finding the Third Proportional to 15,126.75 and 23,498.86

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Solution

The third proportional to 15,126.75 and 23,498.86 is: 36,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126.75 : 23,498.86 = 23,498.86 : x
  2. Step 2: Convert to fraction form
    15,126.75/23,498.86 = 23,498.86/x
  3. Step 3: Cross multiply
    15,126.75x = 23,498.86 × 23,498.86
  4. Step 4: Simplify right side
    15,126.75x = 552,196,391.93
  5. Step 5: Solve for x
    x = 552,196,391.93/15,126.75
  6. Step 6: Final answer
    x = 36,504.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.