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Finding the Third Proportional to 7,904 and 12,984

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Solution

The third proportional to 7,904 and 12,984 is: 21,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904 : 12,984 = 12,984 : x
  2. Step 2: Convert to fraction form
    7,904/12,984 = 12,984/x
  3. Step 3: Cross multiply
    7,904x = 12,984 × 12,984
  4. Step 4: Simplify right side
    7,904x = 168,584,256
  5. Step 5: Solve for x
    x = 168,584,256/7,904
  6. Step 6: Final answer
    x = 21,328.98

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.