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Finding the Third Proportional to 10,430 and 19,402

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Solution

The third proportional to 10,430 and 19,402 is: 36,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 19,402 = 19,402 : x
  2. Step 2: Convert to fraction form
    10,430/19,402 = 19,402/x
  3. Step 3: Cross multiply
    10,430x = 19,402 × 19,402
  4. Step 4: Simplify right side
    10,430x = 376,437,604
  5. Step 5: Solve for x
    x = 376,437,604/10,430
  6. Step 6: Final answer
    x = 36,091.81

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.