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Finding the Third Proportional to 35,750.25 and 52,592.63

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Solution

The third proportional to 35,750.25 and 52,592.63 is: 77,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,750.25 : 52,592.63 = 52,592.63 : x
  2. Step 2: Convert to fraction form
    35,750.25/52,592.63 = 52,592.63/x
  3. Step 3: Cross multiply
    35,750.25x = 52,592.63 × 52,592.63
  4. Step 4: Simplify right side
    35,750.25x = 2,765,984,204.39
  5. Step 5: Solve for x
    x = 2,765,984,204.39/35,750.25
  6. Step 6: Final answer
    x = 77,369.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.