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Finding the Third Proportional to 2,030.06 and 2,848.92

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Solution

The third proportional to 2,030.06 and 2,848.92 is: 3,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.06 : 2,848.92 = 2,848.92 : x
  2. Step 2: Convert to fraction form
    2,030.06/2,848.92 = 2,848.92/x
  3. Step 3: Cross multiply
    2,030.06x = 2,848.92 × 2,848.92
  4. Step 4: Simplify right side
    2,030.06x = 8,116,355.85
  5. Step 5: Solve for x
    x = 8,116,355.85/2,030.06
  6. Step 6: Final answer
    x = 3,998.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.