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Finding the Third Proportional to 2,368.50 and 3,715.59

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Solution

The third proportional to 2,368.50 and 3,715.59 is: 5,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.50 : 3,715.59 = 3,715.59 : x
  2. Step 2: Convert to fraction form
    2,368.50/3,715.59 = 3,715.59/x
  3. Step 3: Cross multiply
    2,368.50x = 3,715.59 × 3,715.59
  4. Step 4: Simplify right side
    2,368.50x = 13,805,636.92
  5. Step 5: Solve for x
    x = 13,805,636.92/2,368.50
  6. Step 6: Final answer
    x = 5,828.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.