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Finding the Third Proportional to 5,689.88 and 12,303.38

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Solution

The third proportional to 5,689.88 and 12,303.38 is: 26,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.88 : 12,303.38 = 12,303.38 : x
  2. Step 2: Convert to fraction form
    5,689.88/12,303.38 = 12,303.38/x
  3. Step 3: Cross multiply
    5,689.88x = 12,303.38 × 12,303.38
  4. Step 4: Simplify right side
    5,689.88x = 151,373,036.39
  5. Step 5: Solve for x
    x = 151,373,036.39/5,689.88
  6. Step 6: Final answer
    x = 26,603.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.