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Finding the Third Proportional to 10,654.03 and 22,520.53

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Solution

The third proportional to 10,654.03 and 22,520.53 is: 47,603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.03 : 22,520.53 = 22,520.53 : x
  2. Step 2: Convert to fraction form
    10,654.03/22,520.53 = 22,520.53/x
  3. Step 3: Cross multiply
    10,654.03x = 22,520.53 × 22,520.53
  4. Step 4: Simplify right side
    10,654.03x = 507,174,327.78
  5. Step 5: Solve for x
    x = 507,174,327.78/10,654.03
  6. Step 6: Final answer
    x = 47,603.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.