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Finding the Third Proportional to 10,654.45 and 22,409.58

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Solution

The third proportional to 10,654.45 and 22,409.58 is: 47,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.45 : 22,409.58 = 22,409.58 : x
  2. Step 2: Convert to fraction form
    10,654.45/22,409.58 = 22,409.58/x
  3. Step 3: Cross multiply
    10,654.45x = 22,409.58 × 22,409.58
  4. Step 4: Simplify right side
    10,654.45x = 502,189,191.74
  5. Step 5: Solve for x
    x = 502,189,191.74/10,654.45
  6. Step 6: Final answer
    x = 47,134.21

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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.