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Finding the Third Proportional to 28,569 and 61,904

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Solution

The third proportional to 28,569 and 61,904 is: 134,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,569 : 61,904 = 61,904 : x
  2. Step 2: Convert to fraction form
    28,569/61,904 = 61,904/x
  3. Step 3: Cross multiply
    28,569x = 61,904 × 61,904
  4. Step 4: Simplify right side
    28,569x = 3,832,105,216
  5. Step 5: Solve for x
    x = 3,832,105,216/28,569
  6. Step 6: Final answer
    x = 134,135.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.