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Finding the Third Proportional to 1,985.34 and 3,040.03

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Solution

The third proportional to 1,985.34 and 3,040.03 is: 4,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.34 : 3,040.03 = 3,040.03 : x
  2. Step 2: Convert to fraction form
    1,985.34/3,040.03 = 3,040.03/x
  3. Step 3: Cross multiply
    1,985.34x = 3,040.03 × 3,040.03
  4. Step 4: Simplify right side
    1,985.34x = 9,241,790.00
  5. Step 5: Solve for x
    x = 9,241,790.00/1,985.34
  6. Step 6: Final answer
    x = 4,655.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.