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Finding the Third Proportional to 1,060.81 and 1,558.74

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Solution

The third proportional to 1,060.81 and 1,558.74 is: 2,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.81 : 1,558.74 = 1,558.74 : x
  2. Step 2: Convert to fraction form
    1,060.81/1,558.74 = 1,558.74/x
  3. Step 3: Cross multiply
    1,060.81x = 1,558.74 × 1,558.74
  4. Step 4: Simplify right side
    1,060.81x = 2,429,657.42
  5. Step 5: Solve for x
    x = 2,429,657.42/1,060.81
  6. Step 6: Final answer
    x = 2,290.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.