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Finding the Third Proportional to 10,742 and 23,428

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Solution

The third proportional to 10,742 and 23,428 is: 51,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742 : 23,428 = 23,428 : x
  2. Step 2: Convert to fraction form
    10,742/23,428 = 23,428/x
  3. Step 3: Cross multiply
    10,742x = 23,428 × 23,428
  4. Step 4: Simplify right side
    10,742x = 548,871,184
  5. Step 5: Solve for x
    x = 548,871,184/10,742
  6. Step 6: Final answer
    x = 51,095.81

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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.