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Finding the Third Proportional to 14,961.50 and 31,472.50

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Solution

The third proportional to 14,961.50 and 31,472.50 is: 66,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961.50 : 31,472.50 = 31,472.50 : x
  2. Step 2: Convert to fraction form
    14,961.50/31,472.50 = 31,472.50/x
  3. Step 3: Cross multiply
    14,961.50x = 31,472.50 × 31,472.50
  4. Step 4: Simplify right side
    14,961.50x = 990,518,256.25
  5. Step 5: Solve for x
    x = 990,518,256.25/14,961.50
  6. Step 6: Final answer
    x = 66,204.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.