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Finding the Third Proportional to 20,464 and 30,047

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Solution

The third proportional to 20,464 and 30,047 is: 44,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464 : 30,047 = 30,047 : x
  2. Step 2: Convert to fraction form
    20,464/30,047 = 30,047/x
  3. Step 3: Cross multiply
    20,464x = 30,047 × 30,047
  4. Step 4: Simplify right side
    20,464x = 902,822,209
  5. Step 5: Solve for x
    x = 902,822,209/20,464
  6. Step 6: Final answer
    x = 44,117.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.