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Finding the Third Proportional to 1,769.34 and 2,810.32

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Solution

The third proportional to 1,769.34 and 2,810.32 is: 4,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.34 : 2,810.32 = 2,810.32 : x
  2. Step 2: Convert to fraction form
    1,769.34/2,810.32 = 2,810.32/x
  3. Step 3: Cross multiply
    1,769.34x = 2,810.32 × 2,810.32
  4. Step 4: Simplify right side
    1,769.34x = 7,897,900.26
  5. Step 5: Solve for x
    x = 7,897,900.26/1,769.34
  6. Step 6: Final answer
    x = 4,463.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.