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Finding the Third Proportional to 35,658.98 and 55,185.68

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Solution

The third proportional to 35,658.98 and 55,185.68 is: 85,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658.98 : 55,185.68 = 55,185.68 : x
  2. Step 2: Convert to fraction form
    35,658.98/55,185.68 = 55,185.68/x
  3. Step 3: Cross multiply
    35,658.98x = 55,185.68 × 55,185.68
  4. Step 4: Simplify right side
    35,658.98x = 3,045,459,242.57
  5. Step 5: Solve for x
    x = 3,045,459,242.57/35,658.98
  6. Step 6: Final answer
    x = 85,405.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.