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Finding the Third Proportional to 35,013 and 51,015

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Solution

The third proportional to 35,013 and 51,015 is: 74,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,013 : 51,015 = 51,015 : x
  2. Step 2: Convert to fraction form
    35,013/51,015 = 51,015/x
  3. Step 3: Cross multiply
    35,013x = 51,015 × 51,015
  4. Step 4: Simplify right side
    35,013x = 2,602,530,225
  5. Step 5: Solve for x
    x = 2,602,530,225/35,013
  6. Step 6: Final answer
    x = 74,330.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.