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Finding the Third Proportional to 13,284 and 28,772

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Solution

The third proportional to 13,284 and 28,772 is: 62,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 28,772 = 28,772 : x
  2. Step 2: Convert to fraction form
    13,284/28,772 = 28,772/x
  3. Step 3: Cross multiply
    13,284x = 28,772 × 28,772
  4. Step 4: Simplify right side
    13,284x = 827,827,984
  5. Step 5: Solve for x
    x = 827,827,984/13,284
  6. Step 6: Final answer
    x = 62,317.67

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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.