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Finding the Third Proportional to 35,780 and 51,604

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Solution

The third proportional to 35,780 and 51,604 is: 74,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780 : 51,604 = 51,604 : x
  2. Step 2: Convert to fraction form
    35,780/51,604 = 51,604/x
  3. Step 3: Cross multiply
    35,780x = 51,604 × 51,604
  4. Step 4: Simplify right side
    35,780x = 2,662,972,816
  5. Step 5: Solve for x
    x = 2,662,972,816/35,780
  6. Step 6: Final answer
    x = 74,426.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.