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Finding the Third Proportional to 2,810.75 and 4,371.50

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Solution

The third proportional to 2,810.75 and 4,371.50 is: 6,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.75 : 4,371.50 = 4,371.50 : x
  2. Step 2: Convert to fraction form
    2,810.75/4,371.50 = 4,371.50/x
  3. Step 3: Cross multiply
    2,810.75x = 4,371.50 × 4,371.50
  4. Step 4: Simplify right side
    2,810.75x = 19,110,012.25
  5. Step 5: Solve for x
    x = 19,110,012.25/2,810.75
  6. Step 6: Final answer
    x = 6,798.90

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