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Finding the Third Proportional to 10,470.12 and 22,822.54

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Solution

The third proportional to 10,470.12 and 22,822.54 is: 49,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.12 : 22,822.54 = 22,822.54 : x
  2. Step 2: Convert to fraction form
    10,470.12/22,822.54 = 22,822.54/x
  3. Step 3: Cross multiply
    10,470.12x = 22,822.54 × 22,822.54
  4. Step 4: Simplify right side
    10,470.12x = 520,868,378.41
  5. Step 5: Solve for x
    x = 520,868,378.41/10,470.12
  6. Step 6: Final answer
    x = 49,748.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.