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Finding the Third Proportional to 23,011 and 35,357.50

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Solution

The third proportional to 23,011 and 35,357.50 is: 54,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011 : 35,357.50 = 35,357.50 : x
  2. Step 2: Convert to fraction form
    23,011/35,357.50 = 35,357.50/x
  3. Step 3: Cross multiply
    23,011x = 35,357.50 × 35,357.50
  4. Step 4: Simplify right side
    23,011x = 1,250,152,806.25
  5. Step 5: Solve for x
    x = 1,250,152,806.25/23,011
  6. Step 6: Final answer
    x = 54,328.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.