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Finding the Third Proportional to 30,582 and 48,655

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Solution

The third proportional to 30,582 and 48,655 is: 77,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582 : 48,655 = 48,655 : x
  2. Step 2: Convert to fraction form
    30,582/48,655 = 48,655/x
  3. Step 3: Cross multiply
    30,582x = 48,655 × 48,655
  4. Step 4: Simplify right side
    30,582x = 2,367,309,025
  5. Step 5: Solve for x
    x = 2,367,309,025/30,582
  6. Step 6: Final answer
    x = 77,408.57

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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.