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Finding the Third Proportional to 32,284 and 44,458

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Solution

The third proportional to 32,284 and 44,458 is: 61,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284 : 44,458 = 44,458 : x
  2. Step 2: Convert to fraction form
    32,284/44,458 = 44,458/x
  3. Step 3: Cross multiply
    32,284x = 44,458 × 44,458
  4. Step 4: Simplify right side
    32,284x = 1,976,513,764
  5. Step 5: Solve for x
    x = 1,976,513,764/32,284
  6. Step 6: Final answer
    x = 61,222.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.