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Finding the Third Proportional to 7,964 and 17,090

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Solution

The third proportional to 7,964 and 17,090 is: 36,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964 : 17,090 = 17,090 : x
  2. Step 2: Convert to fraction form
    7,964/17,090 = 17,090/x
  3. Step 3: Cross multiply
    7,964x = 17,090 × 17,090
  4. Step 4: Simplify right side
    7,964x = 292,068,100
  5. Step 5: Solve for x
    x = 292,068,100/7,964
  6. Step 6: Final answer
    x = 36,673.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.