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Finding the Third Proportional to 30,007.50 and 65,670

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Solution

The third proportional to 30,007.50 and 65,670 is: 143,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.50 : 65,670 = 65,670 : x
  2. Step 2: Convert to fraction form
    30,007.50/65,670 = 65,670/x
  3. Step 3: Cross multiply
    30,007.50x = 65,670 × 65,670
  4. Step 4: Simplify right side
    30,007.50x = 4,312,548,900
  5. Step 5: Solve for x
    x = 4,312,548,900/30,007.50
  6. Step 6: Final answer
    x = 143,715.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.