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Finding the Third Proportional to 10,564.17 and 15,813.35

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Solution

The third proportional to 10,564.17 and 15,813.35 is: 23,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.17 : 15,813.35 = 15,813.35 : x
  2. Step 2: Convert to fraction form
    10,564.17/15,813.35 = 15,813.35/x
  3. Step 3: Cross multiply
    10,564.17x = 15,813.35 × 15,813.35
  4. Step 4: Simplify right side
    10,564.17x = 250,062,087.64
  5. Step 5: Solve for x
    x = 250,062,087.64/10,564.17
  6. Step 6: Final answer
    x = 23,670.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.