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Finding the Third Proportional to 7,329.75 and 15,838.50

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Solution

The third proportional to 7,329.75 and 15,838.50 is: 34,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.75 : 15,838.50 = 15,838.50 : x
  2. Step 2: Convert to fraction form
    7,329.75/15,838.50 = 15,838.50/x
  3. Step 3: Cross multiply
    7,329.75x = 15,838.50 × 15,838.50
  4. Step 4: Simplify right side
    7,329.75x = 250,858,082.25
  5. Step 5: Solve for x
    x = 250,858,082.25/7,329.75
  6. Step 6: Final answer
    x = 34,224.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.