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Finding the Third Proportional to 1,652.19 and 2,432.63

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Solution

The third proportional to 1,652.19 and 2,432.63 is: 3,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.19 : 2,432.63 = 2,432.63 : x
  2. Step 2: Convert to fraction form
    1,652.19/2,432.63 = 2,432.63/x
  3. Step 3: Cross multiply
    1,652.19x = 2,432.63 × 2,432.63
  4. Step 4: Simplify right side
    1,652.19x = 5,917,664.39
  5. Step 5: Solve for x
    x = 5,917,664.39/1,652.19
  6. Step 6: Final answer
    x = 3,581.71

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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.