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Finding the Third Proportional to 15,888 and 35,826

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Solution

The third proportional to 15,888 and 35,826 is: 80,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888 : 35,826 = 35,826 : x
  2. Step 2: Convert to fraction form
    15,888/35,826 = 35,826/x
  3. Step 3: Cross multiply
    15,888x = 35,826 × 35,826
  4. Step 4: Simplify right side
    15,888x = 1,283,502,276
  5. Step 5: Solve for x
    x = 1,283,502,276/15,888
  6. Step 6: Final answer
    x = 80,784.38

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.