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Finding the Third Proportional to 1,060.13 and 1,583.06

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Solution

The third proportional to 1,060.13 and 1,583.06 is: 2,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.13 : 1,583.06 = 1,583.06 : x
  2. Step 2: Convert to fraction form
    1,060.13/1,583.06 = 1,583.06/x
  3. Step 3: Cross multiply
    1,060.13x = 1,583.06 × 1,583.06
  4. Step 4: Simplify right side
    1,060.13x = 2,506,086.88
  5. Step 5: Solve for x
    x = 2,506,086.88/1,060.13
  6. Step 6: Final answer
    x = 2,363.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.