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Finding the Third Proportional to 23,470 and 35,404.50

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Solution

The third proportional to 23,470 and 35,404.50 is: 53,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470 : 35,404.50 = 35,404.50 : x
  2. Step 2: Convert to fraction form
    23,470/35,404.50 = 35,404.50/x
  3. Step 3: Cross multiply
    23,470x = 35,404.50 × 35,404.50
  4. Step 4: Simplify right side
    23,470x = 1,253,478,620.25
  5. Step 5: Solve for x
    x = 1,253,478,620.25/23,470
  6. Step 6: Final answer
    x = 53,407.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.