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Finding the Third Proportional to 1,895.91 and 4,156.31

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Solution

The third proportional to 1,895.91 and 4,156.31 is: 9,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.91 : 4,156.31 = 4,156.31 : x
  2. Step 2: Convert to fraction form
    1,895.91/4,156.31 = 4,156.31/x
  3. Step 3: Cross multiply
    1,895.91x = 4,156.31 × 4,156.31
  4. Step 4: Simplify right side
    1,895.91x = 17,274,933.60
  5. Step 5: Solve for x
    x = 17,274,933.60/1,895.91
  6. Step 6: Final answer
    x = 9,111.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.