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Finding the Third Proportional to 9,904.78 and 22,763.53

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Solution

The third proportional to 9,904.78 and 22,763.53 is: 52,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.78 : 22,763.53 = 22,763.53 : x
  2. Step 2: Convert to fraction form
    9,904.78/22,763.53 = 22,763.53/x
  3. Step 3: Cross multiply
    9,904.78x = 22,763.53 × 22,763.53
  4. Step 4: Simplify right side
    9,904.78x = 518,178,354.97
  5. Step 5: Solve for x
    x = 518,178,354.97/9,904.78
  6. Step 6: Final answer
    x = 52,315.98

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.