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Finding the Third Proportional to 5,729 and 9,148

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Solution

The third proportional to 5,729 and 9,148 is: 14,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729 : 9,148 = 9,148 : x
  2. Step 2: Convert to fraction form
    5,729/9,148 = 9,148/x
  3. Step 3: Cross multiply
    5,729x = 9,148 × 9,148
  4. Step 4: Simplify right side
    5,729x = 83,685,904
  5. Step 5: Solve for x
    x = 83,685,904/5,729
  6. Step 6: Final answer
    x = 14,607.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.