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Finding the Third Proportional to 15,028 and 32,141

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Solution

The third proportional to 15,028 and 32,141 is: 68,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,028 : 32,141 = 32,141 : x
  2. Step 2: Convert to fraction form
    15,028/32,141 = 32,141/x
  3. Step 3: Cross multiply
    15,028x = 32,141 × 32,141
  4. Step 4: Simplify right side
    15,028x = 1,033,043,881
  5. Step 5: Solve for x
    x = 1,033,043,881/15,028
  6. Step 6: Final answer
    x = 68,741.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.