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Finding the Third Proportional to 23,746.50 and 36,767.25

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Solution

The third proportional to 23,746.50 and 36,767.25 is: 56,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746.50 : 36,767.25 = 36,767.25 : x
  2. Step 2: Convert to fraction form
    23,746.50/36,767.25 = 36,767.25/x
  3. Step 3: Cross multiply
    23,746.50x = 36,767.25 × 36,767.25
  4. Step 4: Simplify right side
    23,746.50x = 1,351,830,672.56
  5. Step 5: Solve for x
    x = 1,351,830,672.56/23,746.50
  6. Step 6: Final answer
    x = 56,927.58

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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.