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Finding the Third Proportional to 4,030.50 and 6,069.75

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Solution

The third proportional to 4,030.50 and 6,069.75 is: 9,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.50 : 6,069.75 = 6,069.75 : x
  2. Step 2: Convert to fraction form
    4,030.50/6,069.75 = 6,069.75/x
  3. Step 3: Cross multiply
    4,030.50x = 6,069.75 × 6,069.75
  4. Step 4: Simplify right side
    4,030.50x = 36,841,865.06
  5. Step 5: Solve for x
    x = 36,841,865.06/4,030.50
  6. Step 6: Final answer
    x = 9,140.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.