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Finding the Third Proportional to 28,668 and 64,386

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Solution

The third proportional to 28,668 and 64,386 is: 144,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,668 : 64,386 = 64,386 : x
  2. Step 2: Convert to fraction form
    28,668/64,386 = 64,386/x
  3. Step 3: Cross multiply
    28,668x = 64,386 × 64,386
  4. Step 4: Simplify right side
    28,668x = 4,145,556,996
  5. Step 5: Solve for x
    x = 4,145,556,996/28,668
  6. Step 6: Final answer
    x = 144,605.73

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.