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Finding the Third Proportional to 20,413 and 44,570

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Solution

The third proportional to 20,413 and 44,570 is: 97,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413 : 44,570 = 44,570 : x
  2. Step 2: Convert to fraction form
    20,413/44,570 = 44,570/x
  3. Step 3: Cross multiply
    20,413x = 44,570 × 44,570
  4. Step 4: Simplify right side
    20,413x = 1,986,484,900
  5. Step 5: Solve for x
    x = 1,986,484,900/20,413
  6. Step 6: Final answer
    x = 97,314.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.