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Finding the Third Proportional to 7,257 and 15,463.50

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Solution

The third proportional to 7,257 and 15,463.50 is: 32,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257 : 15,463.50 = 15,463.50 : x
  2. Step 2: Convert to fraction form
    7,257/15,463.50 = 15,463.50/x
  3. Step 3: Cross multiply
    7,257x = 15,463.50 × 15,463.50
  4. Step 4: Simplify right side
    7,257x = 239,119,832.25
  5. Step 5: Solve for x
    x = 239,119,832.25/7,257
  6. Step 6: Final answer
    x = 32,950.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.