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Finding the Third Proportional to 20,113 and 42,428

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Solution

The third proportional to 20,113 and 42,428 is: 89,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113 : 42,428 = 42,428 : x
  2. Step 2: Convert to fraction form
    20,113/42,428 = 42,428/x
  3. Step 3: Cross multiply
    20,113x = 42,428 × 42,428
  4. Step 4: Simplify right side
    20,113x = 1,800,135,184
  5. Step 5: Solve for x
    x = 1,800,135,184/20,113
  6. Step 6: Final answer
    x = 89,501.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.