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Finding the Third Proportional to 30,913 and 48,545

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Solution

The third proportional to 30,913 and 48,545 is: 76,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913 : 48,545 = 48,545 : x
  2. Step 2: Convert to fraction form
    30,913/48,545 = 48,545/x
  3. Step 3: Cross multiply
    30,913x = 48,545 × 48,545
  4. Step 4: Simplify right side
    30,913x = 2,356,617,025
  5. Step 5: Solve for x
    x = 2,356,617,025/30,913
  6. Step 6: Final answer
    x = 76,233.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.