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Finding the Third Proportional to 10,046.53 and 15,525.42

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Solution

The third proportional to 10,046.53 and 15,525.42 is: 23,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.53 : 15,525.42 = 15,525.42 : x
  2. Step 2: Convert to fraction form
    10,046.53/15,525.42 = 15,525.42/x
  3. Step 3: Cross multiply
    10,046.53x = 15,525.42 × 15,525.42
  4. Step 4: Simplify right side
    10,046.53x = 241,038,724.40
  5. Step 5: Solve for x
    x = 241,038,724.40/10,046.53
  6. Step 6: Final answer
    x = 23,992.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.