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Finding the Third Proportional to 7,058 and 15,087.50

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Solution

The third proportional to 7,058 and 15,087.50 is: 32,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058 : 15,087.50 = 15,087.50 : x
  2. Step 2: Convert to fraction form
    7,058/15,087.50 = 15,087.50/x
  3. Step 3: Cross multiply
    7,058x = 15,087.50 × 15,087.50
  4. Step 4: Simplify right side
    7,058x = 227,632,656.25
  5. Step 5: Solve for x
    x = 227,632,656.25/7,058
  6. Step 6: Final answer
    x = 32,251.72

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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.