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Finding the Third Proportional to 30,986 and 48,047

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Solution

The third proportional to 30,986 and 48,047 is: 74,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986 : 48,047 = 48,047 : x
  2. Step 2: Convert to fraction form
    30,986/48,047 = 48,047/x
  3. Step 3: Cross multiply
    30,986x = 48,047 × 48,047
  4. Step 4: Simplify right side
    30,986x = 2,308,514,209
  5. Step 5: Solve for x
    x = 2,308,514,209/30,986
  6. Step 6: Final answer
    x = 74,501.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.