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Finding the Third Proportional to 1,259.06 and 1,916.34

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Solution

The third proportional to 1,259.06 and 1,916.34 is: 2,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.06 : 1,916.34 = 1,916.34 : x
  2. Step 2: Convert to fraction form
    1,259.06/1,916.34 = 1,916.34/x
  3. Step 3: Cross multiply
    1,259.06x = 1,916.34 × 1,916.34
  4. Step 4: Simplify right side
    1,259.06x = 3,672,373.37
  5. Step 5: Solve for x
    x = 3,672,373.37/1,259.06
  6. Step 6: Final answer
    x = 2,916.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.