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Finding the Third Proportional to 1,892.34 and 2,953.45

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Solution

The third proportional to 1,892.34 and 2,953.45 is: 4,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.34 : 2,953.45 = 2,953.45 : x
  2. Step 2: Convert to fraction form
    1,892.34/2,953.45 = 2,953.45/x
  3. Step 3: Cross multiply
    1,892.34x = 2,953.45 × 2,953.45
  4. Step 4: Simplify right side
    1,892.34x = 8,722,885.36
  5. Step 5: Solve for x
    x = 8,722,885.36/1,892.34
  6. Step 6: Final answer
    x = 4,609.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.