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Finding the Third Proportional to 10,330 and 14,783

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Solution

The third proportional to 10,330 and 14,783 is: 21,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330 : 14,783 = 14,783 : x
  2. Step 2: Convert to fraction form
    10,330/14,783 = 14,783/x
  3. Step 3: Cross multiply
    10,330x = 14,783 × 14,783
  4. Step 4: Simplify right side
    10,330x = 218,537,089
  5. Step 5: Solve for x
    x = 218,537,089/10,330
  6. Step 6: Final answer
    x = 21,155.57

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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.