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Finding the Third Proportional to 15,716 and 20,981.50

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Solution

The third proportional to 15,716 and 20,981.50 is: 28,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716 : 20,981.50 = 20,981.50 : x
  2. Step 2: Convert to fraction form
    15,716/20,981.50 = 20,981.50/x
  3. Step 3: Cross multiply
    15,716x = 20,981.50 × 20,981.50
  4. Step 4: Simplify right side
    15,716x = 440,223,342.25
  5. Step 5: Solve for x
    x = 440,223,342.25/15,716
  6. Step 6: Final answer
    x = 28,011.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.