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Finding the Third Proportional to 14,687 and 20,937

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Solution

The third proportional to 14,687 and 20,937 is: 29,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687 : 20,937 = 20,937 : x
  2. Step 2: Convert to fraction form
    14,687/20,937 = 20,937/x
  3. Step 3: Cross multiply
    14,687x = 20,937 × 20,937
  4. Step 4: Simplify right side
    14,687x = 438,357,969
  5. Step 5: Solve for x
    x = 438,357,969/14,687
  6. Step 6: Final answer
    x = 29,846.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.