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Finding the Third Proportional to 9,384 and 14,857.50

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Solution

The third proportional to 9,384 and 14,857.50 is: 23,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384 : 14,857.50 = 14,857.50 : x
  2. Step 2: Convert to fraction form
    9,384/14,857.50 = 14,857.50/x
  3. Step 3: Cross multiply
    9,384x = 14,857.50 × 14,857.50
  4. Step 4: Simplify right side
    9,384x = 220,745,306.25
  5. Step 5: Solve for x
    x = 220,745,306.25/9,384
  6. Step 6: Final answer
    x = 23,523.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.