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Finding the Third Proportional to 10,783.13 and 22,852.13

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Solution

The third proportional to 10,783.13 and 22,852.13 is: 48,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 22,852.13 = 22,852.13 : x
  2. Step 2: Convert to fraction form
    10,783.13/22,852.13 = 22,852.13/x
  3. Step 3: Cross multiply
    10,783.13x = 22,852.13 × 22,852.13
  4. Step 4: Simplify right side
    10,783.13x = 522,219,617.02
  5. Step 5: Solve for x
    x = 522,219,617.02/10,783.13
  6. Step 6: Final answer
    x = 48,429.34

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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.