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Finding the Third Proportional to 30,463 and 47,798

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Solution

The third proportional to 30,463 and 47,798 is: 74,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463 : 47,798 = 47,798 : x
  2. Step 2: Convert to fraction form
    30,463/47,798 = 47,798/x
  3. Step 3: Cross multiply
    30,463x = 47,798 × 47,798
  4. Step 4: Simplify right side
    30,463x = 2,284,648,804
  5. Step 5: Solve for x
    x = 2,284,648,804/30,463
  6. Step 6: Final answer
    x = 74,997.50

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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.