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Finding the Third Proportional to 30,512 and 44,778

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Solution

The third proportional to 30,512 and 44,778 is: 65,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512 : 44,778 = 44,778 : x
  2. Step 2: Convert to fraction form
    30,512/44,778 = 44,778/x
  3. Step 3: Cross multiply
    30,512x = 44,778 × 44,778
  4. Step 4: Simplify right side
    30,512x = 2,005,069,284
  5. Step 5: Solve for x
    x = 2,005,069,284/30,512
  6. Step 6: Final answer
    x = 65,714.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.