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Finding the Third Proportional to 6,237.79 and 13,465.14

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Solution

The third proportional to 6,237.79 and 13,465.14 is: 29,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.79 : 13,465.14 = 13,465.14 : x
  2. Step 2: Convert to fraction form
    6,237.79/13,465.14 = 13,465.14/x
  3. Step 3: Cross multiply
    6,237.79x = 13,465.14 × 13,465.14
  4. Step 4: Simplify right side
    6,237.79x = 181,310,064.65
  5. Step 5: Solve for x
    x = 181,310,064.65/6,237.79
  6. Step 6: Final answer
    x = 29,066.39

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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.