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Finding the Third Proportional to 7,964.81 and 17,225.63

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Solution

The third proportional to 7,964.81 and 17,225.63 is: 37,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.81 : 17,225.63 = 17,225.63 : x
  2. Step 2: Convert to fraction form
    7,964.81/17,225.63 = 17,225.63/x
  3. Step 3: Cross multiply
    7,964.81x = 17,225.63 × 17,225.63
  4. Step 4: Simplify right side
    7,964.81x = 296,722,156.64
  5. Step 5: Solve for x
    x = 296,722,156.64/7,964.81
  6. Step 6: Final answer
    x = 37,254.13

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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.