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Finding the Third Proportional to 20,533.13 and 22,693.13

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Solution

The third proportional to 20,533.13 and 22,693.13 is: 25,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.13 : 22,693.13 = 22,693.13 : x
  2. Step 2: Convert to fraction form
    20,533.13/22,693.13 = 22,693.13/x
  3. Step 3: Cross multiply
    20,533.13x = 22,693.13 × 22,693.13
  4. Step 4: Simplify right side
    20,533.13x = 514,977,922.27
  5. Step 5: Solve for x
    x = 514,977,922.27/20,533.13
  6. Step 6: Final answer
    x = 25,080.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.