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Finding the Third Proportional to 1,964.63 and 4,192.50

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Solution

The third proportional to 1,964.63 and 4,192.50 is: 8,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.63 : 4,192.50 = 4,192.50 : x
  2. Step 2: Convert to fraction form
    1,964.63/4,192.50 = 4,192.50/x
  3. Step 3: Cross multiply
    1,964.63x = 4,192.50 × 4,192.50
  4. Step 4: Simplify right side
    1,964.63x = 17,577,056.25
  5. Step 5: Solve for x
    x = 17,577,056.25/1,964.63
  6. Step 6: Final answer
    x = 8,946.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.