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Finding the Third Proportional to 44,458 and 64,930

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Solution

The third proportional to 44,458 and 64,930 is: 94,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,458 : 64,930 = 64,930 : x
  2. Step 2: Convert to fraction form
    44,458/64,930 = 64,930/x
  3. Step 3: Cross multiply
    44,458x = 64,930 × 64,930
  4. Step 4: Simplify right side
    44,458x = 4,215,904,900
  5. Step 5: Solve for x
    x = 4,215,904,900/44,458
  6. Step 6: Final answer
    x = 94,828.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.