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Finding the Third Proportional to 28,746 and 61,863

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Solution

The third proportional to 28,746 and 61,863 is: 133,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,746 : 61,863 = 61,863 : x
  2. Step 2: Convert to fraction form
    28,746/61,863 = 61,863/x
  3. Step 3: Cross multiply
    28,746x = 61,863 × 61,863
  4. Step 4: Simplify right side
    28,746x = 3,827,030,769
  5. Step 5: Solve for x
    x = 3,827,030,769/28,746
  6. Step 6: Final answer
    x = 133,132.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.