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Finding the Third Proportional to 35,474.63 and 58,748.63

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Solution

The third proportional to 35,474.63 and 58,748.63 is: 97,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,474.63 : 58,748.63 = 58,748.63 : x
  2. Step 2: Convert to fraction form
    35,474.63/58,748.63 = 58,748.63/x
  3. Step 3: Cross multiply
    35,474.63x = 58,748.63 × 58,748.63
  4. Step 4: Simplify right side
    35,474.63x = 3,451,400,939.39
  5. Step 5: Solve for x
    x = 3,451,400,939.39/35,474.63
  6. Step 6: Final answer
    x = 97,292.10

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.