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Finding the Third Proportional to 15,731 and 24,143.50

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Solution

The third proportional to 15,731 and 24,143.50 is: 37,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731 : 24,143.50 = 24,143.50 : x
  2. Step 2: Convert to fraction form
    15,731/24,143.50 = 24,143.50/x
  3. Step 3: Cross multiply
    15,731x = 24,143.50 × 24,143.50
  4. Step 4: Simplify right side
    15,731x = 582,908,592.25
  5. Step 5: Solve for x
    x = 582,908,592.25/15,731
  6. Step 6: Final answer
    x = 37,054.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.