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Finding the Third Proportional to 10,652.45 and 22,406.31

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Solution

The third proportional to 10,652.45 and 22,406.31 is: 47,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.45 : 22,406.31 = 22,406.31 : x
  2. Step 2: Convert to fraction form
    10,652.45/22,406.31 = 22,406.31/x
  3. Step 3: Cross multiply
    10,652.45x = 22,406.31 × 22,406.31
  4. Step 4: Simplify right side
    10,652.45x = 502,042,664.80
  5. Step 5: Solve for x
    x = 502,042,664.80/10,652.45
  6. Step 6: Final answer
    x = 47,129.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.