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Finding the Third Proportional to 10,046.53 and 15,417.21

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Solution

The third proportional to 10,046.53 and 15,417.21 is: 23,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.53 : 15,417.21 = 15,417.21 : x
  2. Step 2: Convert to fraction form
    10,046.53/15,417.21 = 15,417.21/x
  3. Step 3: Cross multiply
    10,046.53x = 15,417.21 × 15,417.21
  4. Step 4: Simplify right side
    10,046.53x = 237,690,393.09
  5. Step 5: Solve for x
    x = 237,690,393.09/10,046.53
  6. Step 6: Final answer
    x = 23,658.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.