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Finding the Third Proportional to 10,513.55 and 23,111.58

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Solution

The third proportional to 10,513.55 and 23,111.58 is: 50,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.55 : 23,111.58 = 23,111.58 : x
  2. Step 2: Convert to fraction form
    10,513.55/23,111.58 = 23,111.58/x
  3. Step 3: Cross multiply
    10,513.55x = 23,111.58 × 23,111.58
  4. Step 4: Simplify right side
    10,513.55x = 534,145,043.43
  5. Step 5: Solve for x
    x = 534,145,043.43/10,513.55
  6. Step 6: Final answer
    x = 50,805.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.