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Finding the Third Proportional to 10,430.02 and 22,830.61

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Solution

The third proportional to 10,430.02 and 22,830.61 is: 49,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.02 : 22,830.61 = 22,830.61 : x
  2. Step 2: Convert to fraction form
    10,430.02/22,830.61 = 22,830.61/x
  3. Step 3: Cross multiply
    10,430.02x = 22,830.61 × 22,830.61
  4. Step 4: Simplify right side
    10,430.02x = 521,236,724.43
  5. Step 5: Solve for x
    x = 521,236,724.43/10,430.02
  6. Step 6: Final answer
    x = 49,974.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.