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Finding the Third Proportional to 7,892.63 and 13,152.63

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Solution

The third proportional to 7,892.63 and 13,152.63 is: 21,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.63 : 13,152.63 = 13,152.63 : x
  2. Step 2: Convert to fraction form
    7,892.63/13,152.63 = 13,152.63/x
  3. Step 3: Cross multiply
    7,892.63x = 13,152.63 × 13,152.63
  4. Step 4: Simplify right side
    7,892.63x = 172,991,544.39
  5. Step 5: Solve for x
    x = 172,991,544.39/7,892.63
  6. Step 6: Final answer
    x = 21,918.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.