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Finding the Third Proportional to 7,138.50 and 15,141

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Solution

The third proportional to 7,138.50 and 15,141 is: 32,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.50 : 15,141 = 15,141 : x
  2. Step 2: Convert to fraction form
    7,138.50/15,141 = 15,141/x
  3. Step 3: Cross multiply
    7,138.50x = 15,141 × 15,141
  4. Step 4: Simplify right side
    7,138.50x = 229,249,881
  5. Step 5: Solve for x
    x = 229,249,881/7,138.50
  6. Step 6: Final answer
    x = 32,114.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.