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Finding the Third Proportional to 30,024.38 and 65,333.63

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Solution

The third proportional to 30,024.38 and 65,333.63 is: 142,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024.38 : 65,333.63 = 65,333.63 : x
  2. Step 2: Convert to fraction form
    30,024.38/65,333.63 = 65,333.63/x
  3. Step 3: Cross multiply
    30,024.38x = 65,333.63 × 65,333.63
  4. Step 4: Simplify right side
    30,024.38x = 4,268,482,555.64
  5. Step 5: Solve for x
    x = 4,268,482,555.64/30,024.38
  6. Step 6: Final answer
    x = 142,167.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.