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Finding the Third Proportional to 14,952 and 21,784

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Solution

The third proportional to 14,952 and 21,784 is: 31,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952 : 21,784 = 21,784 : x
  2. Step 2: Convert to fraction form
    14,952/21,784 = 21,784/x
  3. Step 3: Cross multiply
    14,952x = 21,784 × 21,784
  4. Step 4: Simplify right side
    14,952x = 474,542,656
  5. Step 5: Solve for x
    x = 474,542,656/14,952
  6. Step 6: Final answer
    x = 31,737.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.