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Finding the Third Proportional to 7,779.38 and 12,368.81

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Solution

The third proportional to 7,779.38 and 12,368.81 is: 19,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.38 : 12,368.81 = 12,368.81 : x
  2. Step 2: Convert to fraction form
    7,779.38/12,368.81 = 12,368.81/x
  3. Step 3: Cross multiply
    7,779.38x = 12,368.81 × 12,368.81
  4. Step 4: Simplify right side
    7,779.38x = 152,987,522.66
  5. Step 5: Solve for x
    x = 152,987,522.66/7,779.38
  6. Step 6: Final answer
    x = 19,665.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.