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Finding the Third Proportional to 1,405.32 and 2,056.72

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Solution

The third proportional to 1,405.32 and 2,056.72 is: 3,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.32 : 2,056.72 = 2,056.72 : x
  2. Step 2: Convert to fraction form
    1,405.32/2,056.72 = 2,056.72/x
  3. Step 3: Cross multiply
    1,405.32x = 2,056.72 × 2,056.72
  4. Step 4: Simplify right side
    1,405.32x = 4,230,096.03
  5. Step 5: Solve for x
    x = 4,230,096.03/1,405.32
  6. Step 6: Final answer
    x = 3,010.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.