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Finding the Third Proportional to 7,985.58 and 12,311.55

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Solution

The third proportional to 7,985.58 and 12,311.55 is: 18,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.58 : 12,311.55 = 12,311.55 : x
  2. Step 2: Convert to fraction form
    7,985.58/12,311.55 = 12,311.55/x
  3. Step 3: Cross multiply
    7,985.58x = 12,311.55 × 12,311.55
  4. Step 4: Simplify right side
    7,985.58x = 151,574,144.37
  5. Step 5: Solve for x
    x = 151,574,144.37/7,985.58
  6. Step 6: Final answer
    x = 18,980.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.