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Finding the Third Proportional to 30,411.07 and 65,317.32

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Solution

The third proportional to 30,411.07 and 65,317.32 is: 140,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.07 : 65,317.32 = 65,317.32 : x
  2. Step 2: Convert to fraction form
    30,411.07/65,317.32 = 65,317.32/x
  3. Step 3: Cross multiply
    30,411.07x = 65,317.32 × 65,317.32
  4. Step 4: Simplify right side
    30,411.07x = 4,266,352,843.10
  5. Step 5: Solve for x
    x = 4,266,352,843.10/30,411.07
  6. Step 6: Final answer
    x = 140,289.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.