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Finding the Third Proportional to 15,088.50 and 31,185

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Solution

The third proportional to 15,088.50 and 31,185 is: 64,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088.50 : 31,185 = 31,185 : x
  2. Step 2: Convert to fraction form
    15,088.50/31,185 = 31,185/x
  3. Step 3: Cross multiply
    15,088.50x = 31,185 × 31,185
  4. Step 4: Simplify right side
    15,088.50x = 972,504,225
  5. Step 5: Solve for x
    x = 972,504,225/15,088.50
  6. Step 6: Final answer
    x = 64,453.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.