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Finding the Third Proportional to 1,899.47 and 4,145.72

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Solution

The third proportional to 1,899.47 and 4,145.72 is: 9,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.47 : 4,145.72 = 4,145.72 : x
  2. Step 2: Convert to fraction form
    1,899.47/4,145.72 = 4,145.72/x
  3. Step 3: Cross multiply
    1,899.47x = 4,145.72 × 4,145.72
  4. Step 4: Simplify right side
    1,899.47x = 17,186,983.95
  5. Step 5: Solve for x
    x = 17,186,983.95/1,899.47
  6. Step 6: Final answer
    x = 9,048.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.