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Finding the Third Proportional to 15,716 and 24,526

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Solution

The third proportional to 15,716 and 24,526 is: 38,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716 : 24,526 = 24,526 : x
  2. Step 2: Convert to fraction form
    15,716/24,526 = 24,526/x
  3. Step 3: Cross multiply
    15,716x = 24,526 × 24,526
  4. Step 4: Simplify right side
    15,716x = 601,524,676
  5. Step 5: Solve for x
    x = 601,524,676/15,716
  6. Step 6: Final answer
    x = 38,274.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.