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Finding the Third Proportional to 9,981.75 and 15,657.75

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Solution

The third proportional to 9,981.75 and 15,657.75 is: 24,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.75 : 15,657.75 = 15,657.75 : x
  2. Step 2: Convert to fraction form
    9,981.75/15,657.75 = 15,657.75/x
  3. Step 3: Cross multiply
    9,981.75x = 15,657.75 × 15,657.75
  4. Step 4: Simplify right side
    9,981.75x = 245,165,135.06
  5. Step 5: Solve for x
    x = 245,165,135.06/9,981.75
  6. Step 6: Final answer
    x = 24,561.34

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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.