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Finding the Third Proportional to 14,940 and 21,709

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Solution

The third proportional to 14,940 and 21,709 is: 31,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,940 : 21,709 = 21,709 : x
  2. Step 2: Convert to fraction form
    14,940/21,709 = 21,709/x
  3. Step 3: Cross multiply
    14,940x = 21,709 × 21,709
  4. Step 4: Simplify right side
    14,940x = 471,280,681
  5. Step 5: Solve for x
    x = 471,280,681/14,940
  6. Step 6: Final answer
    x = 31,544.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.