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Finding the Third Proportional to 10,783.13 and 22,844.53

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Solution

The third proportional to 10,783.13 and 22,844.53 is: 48,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 22,844.53 = 22,844.53 : x
  2. Step 2: Convert to fraction form
    10,783.13/22,844.53 = 22,844.53/x
  3. Step 3: Cross multiply
    10,783.13x = 22,844.53 × 22,844.53
  4. Step 4: Simplify right side
    10,783.13x = 521,872,608.03
  5. Step 5: Solve for x
    x = 521,872,608.03/10,783.13
  6. Step 6: Final answer
    x = 48,397.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.