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Finding the Third Proportional to 6,785.81 and 9,935.63

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Solution

The third proportional to 6,785.81 and 9,935.63 is: 14,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.81 : 9,935.63 = 9,935.63 : x
  2. Step 2: Convert to fraction form
    6,785.81/9,935.63 = 9,935.63/x
  3. Step 3: Cross multiply
    6,785.81x = 9,935.63 × 9,935.63
  4. Step 4: Simplify right side
    6,785.81x = 98,716,644.14
  5. Step 5: Solve for x
    x = 98,716,644.14/6,785.81
  6. Step 6: Final answer
    x = 14,547.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.