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Finding the Third Proportional to 28,289 and 61,033

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Solution

The third proportional to 28,289 and 61,033 is: 131,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,289 : 61,033 = 61,033 : x
  2. Step 2: Convert to fraction form
    28,289/61,033 = 61,033/x
  3. Step 3: Cross multiply
    28,289x = 61,033 × 61,033
  4. Step 4: Simplify right side
    28,289x = 3,725,027,089
  5. Step 5: Solve for x
    x = 3,725,027,089/28,289
  6. Step 6: Final answer
    x = 131,677.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.