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Finding the Third Proportional to 9,306 and 14,433

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Solution

The third proportional to 9,306 and 14,433 is: 22,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306 : 14,433 = 14,433 : x
  2. Step 2: Convert to fraction form
    9,306/14,433 = 14,433/x
  3. Step 3: Cross multiply
    9,306x = 14,433 × 14,433
  4. Step 4: Simplify right side
    9,306x = 208,311,489
  5. Step 5: Solve for x
    x = 208,311,489/9,306
  6. Step 6: Final answer
    x = 22,384.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.