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Finding the Third Proportional to 23,818.50 and 35,015

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Solution

The third proportional to 23,818.50 and 35,015 is: 51,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.50 : 35,015 = 35,015 : x
  2. Step 2: Convert to fraction form
    23,818.50/35,015 = 35,015/x
  3. Step 3: Cross multiply
    23,818.50x = 35,015 × 35,015
  4. Step 4: Simplify right side
    23,818.50x = 1,226,050,225
  5. Step 5: Solve for x
    x = 1,226,050,225/23,818.50
  6. Step 6: Final answer
    x = 51,474.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.