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Finding the Third Proportional to 13,309 and 28,833

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Solution

The third proportional to 13,309 and 28,833 is: 62,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309 : 28,833 = 28,833 : x
  2. Step 2: Convert to fraction form
    13,309/28,833 = 28,833/x
  3. Step 3: Cross multiply
    13,309x = 28,833 × 28,833
  4. Step 4: Simplify right side
    13,309x = 831,341,889
  5. Step 5: Solve for x
    x = 831,341,889/13,309
  6. Step 6: Final answer
    x = 62,464.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.