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Finding the Third Proportional to 1,899.42 and 2,875.22

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Solution

The third proportional to 1,899.42 and 2,875.22 is: 4,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.42 : 2,875.22 = 2,875.22 : x
  2. Step 2: Convert to fraction form
    1,899.42/2,875.22 = 2,875.22/x
  3. Step 3: Cross multiply
    1,899.42x = 2,875.22 × 2,875.22
  4. Step 4: Simplify right side
    1,899.42x = 8,266,882.86
  5. Step 5: Solve for x
    x = 8,266,882.86/1,899.42
  6. Step 6: Final answer
    x = 4,352.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.