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Finding the Third Proportional to 4,719.94 and 6,603.19

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Solution

The third proportional to 4,719.94 and 6,603.19 is: 9,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.94 : 6,603.19 = 6,603.19 : x
  2. Step 2: Convert to fraction form
    4,719.94/6,603.19 = 6,603.19/x
  3. Step 3: Cross multiply
    4,719.94x = 6,603.19 × 6,603.19
  4. Step 4: Simplify right side
    4,719.94x = 43,602,085.16
  5. Step 5: Solve for x
    x = 43,602,085.16/4,719.94
  6. Step 6: Final answer
    x = 9,237.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.