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Finding the Third Proportional to 2,052 and 4,432.50

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Solution

The third proportional to 2,052 and 4,432.50 is: 9,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 4,432.50 = 4,432.50 : x
  2. Step 2: Convert to fraction form
    2,052/4,432.50 = 4,432.50/x
  3. Step 3: Cross multiply
    2,052x = 4,432.50 × 4,432.50
  4. Step 4: Simplify right side
    2,052x = 19,647,056.25
  5. Step 5: Solve for x
    x = 19,647,056.25/2,052
  6. Step 6: Final answer
    x = 9,574.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.