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Finding the Third Proportional to 1,572.86 and 2,042.72

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Solution

The third proportional to 1,572.86 and 2,042.72 is: 2,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.86 : 2,042.72 = 2,042.72 : x
  2. Step 2: Convert to fraction form
    1,572.86/2,042.72 = 2,042.72/x
  3. Step 3: Cross multiply
    1,572.86x = 2,042.72 × 2,042.72
  4. Step 4: Simplify right side
    1,572.86x = 4,172,699.89
  5. Step 5: Solve for x
    x = 4,172,699.89/1,572.86
  6. Step 6: Final answer
    x = 2,652.95

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.