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Finding the Third Proportional to 23,070 and 35,266.50

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Solution

The third proportional to 23,070 and 35,266.50 is: 53,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070 : 35,266.50 = 35,266.50 : x
  2. Step 2: Convert to fraction form
    23,070/35,266.50 = 35,266.50/x
  3. Step 3: Cross multiply
    23,070x = 35,266.50 × 35,266.50
  4. Step 4: Simplify right side
    23,070x = 1,243,726,022.25
  5. Step 5: Solve for x
    x = 1,243,726,022.25/23,070
  6. Step 6: Final answer
    x = 53,910.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.