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Finding the Third Proportional to 7,141 and 15,378.25

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Solution

The third proportional to 7,141 and 15,378.25 is: 33,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141 : 15,378.25 = 15,378.25 : x
  2. Step 2: Convert to fraction form
    7,141/15,378.25 = 15,378.25/x
  3. Step 3: Cross multiply
    7,141x = 15,378.25 × 15,378.25
  4. Step 4: Simplify right side
    7,141x = 236,490,573.06
  5. Step 5: Solve for x
    x = 236,490,573.06/7,141
  6. Step 6: Final answer
    x = 33,117.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.