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Finding the Third Proportional to 15,288.75 and 23,506.88

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Solution

The third proportional to 15,288.75 and 23,506.88 is: 36,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,288.75 : 23,506.88 = 23,506.88 : x
  2. Step 2: Convert to fraction form
    15,288.75/23,506.88 = 23,506.88/x
  3. Step 3: Cross multiply
    15,288.75x = 23,506.88 × 23,506.88
  4. Step 4: Simplify right side
    15,288.75x = 552,573,172.27
  5. Step 5: Solve for x
    x = 552,573,172.27/15,288.75
  6. Step 6: Final answer
    x = 36,142.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.