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Finding the Third Proportional to 30,187.69 and 39,707.72

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Solution

The third proportional to 30,187.69 and 39,707.72 is: 52,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.69 : 39,707.72 = 39,707.72 : x
  2. Step 2: Convert to fraction form
    30,187.69/39,707.72 = 39,707.72/x
  3. Step 3: Cross multiply
    30,187.69x = 39,707.72 × 39,707.72
  4. Step 4: Simplify right side
    30,187.69x = 1,576,702,928.33
  5. Step 5: Solve for x
    x = 1,576,702,928.33/30,187.69
  6. Step 6: Final answer
    x = 52,230.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.