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Finding the Third Proportional to 28,788 and 61,004

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Solution

The third proportional to 28,788 and 61,004 is: 129,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,788 : 61,004 = 61,004 : x
  2. Step 2: Convert to fraction form
    28,788/61,004 = 61,004/x
  3. Step 3: Cross multiply
    28,788x = 61,004 × 61,004
  4. Step 4: Simplify right side
    28,788x = 3,721,488,016
  5. Step 5: Solve for x
    x = 3,721,488,016/28,788
  6. Step 6: Final answer
    x = 129,272.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.