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Finding the Third Proportional to 44,458 and 64,929

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Solution

The third proportional to 44,458 and 64,929 is: 94,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,458 : 64,929 = 64,929 : x
  2. Step 2: Convert to fraction form
    44,458/64,929 = 64,929/x
  3. Step 3: Cross multiply
    44,458x = 64,929 × 64,929
  4. Step 4: Simplify right side
    44,458x = 4,215,775,041
  5. Step 5: Solve for x
    x = 4,215,775,041/44,458
  6. Step 6: Final answer
    x = 94,826.02

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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.