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Finding the Third Proportional to 15,208.50 and 31,146

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Solution

The third proportional to 15,208.50 and 31,146 is: 63,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.50 : 31,146 = 31,146 : x
  2. Step 2: Convert to fraction form
    15,208.50/31,146 = 31,146/x
  3. Step 3: Cross multiply
    15,208.50x = 31,146 × 31,146
  4. Step 4: Simplify right side
    15,208.50x = 970,073,316
  5. Step 5: Solve for x
    x = 970,073,316/15,208.50
  6. Step 6: Final answer
    x = 63,784.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.