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Finding the Third Proportional to 10,654.03 and 15,981.05

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Solution

The third proportional to 10,654.03 and 15,981.05 is: 23,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.03 : 15,981.05 = 15,981.05 : x
  2. Step 2: Convert to fraction form
    10,654.03/15,981.05 = 15,981.05/x
  3. Step 3: Cross multiply
    10,654.03x = 15,981.05 × 15,981.05
  4. Step 4: Simplify right side
    10,654.03x = 255,393,859.22
  5. Step 5: Solve for x
    x = 255,393,859.22/10,654.03
  6. Step 6: Final answer
    x = 23,971.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.