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Finding the Third Proportional to 30,499 and 44,047

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Solution

The third proportional to 30,499 and 44,047 is: 63,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499 : 44,047 = 44,047 : x
  2. Step 2: Convert to fraction form
    30,499/44,047 = 44,047/x
  3. Step 3: Cross multiply
    30,499x = 44,047 × 44,047
  4. Step 4: Simplify right side
    30,499x = 1,940,138,209
  5. Step 5: Solve for x
    x = 1,940,138,209/30,499
  6. Step 6: Final answer
    x = 63,613.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.