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Finding the Third Proportional to 42,483 and 89,826

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Solution

The third proportional to 42,483 and 89,826 is: 189,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,483 : 89,826 = 89,826 : x
  2. Step 2: Convert to fraction form
    42,483/89,826 = 89,826/x
  3. Step 3: Cross multiply
    42,483x = 89,826 × 89,826
  4. Step 4: Simplify right side
    42,483x = 8,068,710,276
  5. Step 5: Solve for x
    x = 8,068,710,276/42,483
  6. Step 6: Final answer
    x = 189,927.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.