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Finding the Third Proportional to 35,655.19 and 76,953.38

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Solution

The third proportional to 35,655.19 and 76,953.38 is: 166,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.19 : 76,953.38 = 76,953.38 : x
  2. Step 2: Convert to fraction form
    35,655.19/76,953.38 = 76,953.38/x
  3. Step 3: Cross multiply
    35,655.19x = 76,953.38 × 76,953.38
  4. Step 4: Simplify right side
    35,655.19x = 5,921,821,923.89
  5. Step 5: Solve for x
    x = 5,921,821,923.89/35,655.19
  6. Step 6: Final answer
    x = 166,085.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.