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Finding the Third Proportional to 28,301 and 38,298

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Solution

The third proportional to 28,301 and 38,298 is: 51,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,301 : 38,298 = 38,298 : x
  2. Step 2: Convert to fraction form
    28,301/38,298 = 38,298/x
  3. Step 3: Cross multiply
    28,301x = 38,298 × 38,298
  4. Step 4: Simplify right side
    28,301x = 1,466,736,804
  5. Step 5: Solve for x
    x = 1,466,736,804/28,301
  6. Step 6: Final answer
    x = 51,826.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.