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Finding the Third Proportional to 18,096 and 28,428

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Solution

The third proportional to 18,096 and 28,428 is: 44,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096 : 28,428 = 28,428 : x
  2. Step 2: Convert to fraction form
    18,096/28,428 = 28,428/x
  3. Step 3: Cross multiply
    18,096x = 28,428 × 28,428
  4. Step 4: Simplify right side
    18,096x = 808,151,184
  5. Step 5: Solve for x
    x = 808,151,184/18,096
  6. Step 6: Final answer
    x = 44,659.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.