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Finding the Third Proportional to 28,886 and 63,061

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Solution

The third proportional to 28,886 and 63,061 is: 137,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,886 : 63,061 = 63,061 : x
  2. Step 2: Convert to fraction form
    28,886/63,061 = 63,061/x
  3. Step 3: Cross multiply
    28,886x = 63,061 × 63,061
  4. Step 4: Simplify right side
    28,886x = 3,976,689,721
  5. Step 5: Solve for x
    x = 3,976,689,721/28,886
  6. Step 6: Final answer
    x = 137,668.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.