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Finding the Third Proportional to 58,536.42 and 83,647.05

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Solution

The third proportional to 58,536.42 and 83,647.05 is: 119,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,536.42 : 83,647.05 = 83,647.05 : x
  2. Step 2: Convert to fraction form
    58,536.42/83,647.05 = 83,647.05/x
  3. Step 3: Cross multiply
    58,536.42x = 83,647.05 × 83,647.05
  4. Step 4: Simplify right side
    58,536.42x = 6,996,829,757.89
  5. Step 5: Solve for x
    x = 6,996,829,757.89/58,536.42
  6. Step 6: Final answer
    x = 119,529.51

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.