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Finding the Third Proportional to 10,583.79 and 22,823.02

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Solution

The third proportional to 10,583.79 and 22,823.02 is: 49,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.79 : 22,823.02 = 22,823.02 : x
  2. Step 2: Convert to fraction form
    10,583.79/22,823.02 = 22,823.02/x
  3. Step 3: Cross multiply
    10,583.79x = 22,823.02 × 22,823.02
  4. Step 4: Simplify right side
    10,583.79x = 520,890,042.22
  5. Step 5: Solve for x
    x = 520,890,042.22/10,583.79
  6. Step 6: Final answer
    x = 49,215.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.