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Finding the Third Proportional to 785.91 and 1,715.81

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Solution

The third proportional to 785.91 and 1,715.81 is: 3,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.91 : 1,715.81 = 1,715.81 : x
  2. Step 2: Convert to fraction form
    785.91/1,715.81 = 1,715.81/x
  3. Step 3: Cross multiply
    785.91x = 1,715.81 × 1,715.81
  4. Step 4: Simplify right side
    785.91x = 2,944,012.54
  5. Step 5: Solve for x
    x = 2,944,012.54/785.91
  6. Step 6: Final answer
    x = 3,746.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.