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Finding the Third Proportional to 28,646 and 45,577

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Solution

The third proportional to 28,646 and 45,577 is: 72,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,646 : 45,577 = 45,577 : x
  2. Step 2: Convert to fraction form
    28,646/45,577 = 45,577/x
  3. Step 3: Cross multiply
    28,646x = 45,577 × 45,577
  4. Step 4: Simplify right side
    28,646x = 2,077,262,929
  5. Step 5: Solve for x
    x = 2,077,262,929/28,646
  6. Step 6: Final answer
    x = 72,514.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.