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Finding the Third Proportional to 1,975.32 and 4,315.15

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Solution

The third proportional to 1,975.32 and 4,315.15 is: 9,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.32 : 4,315.15 = 4,315.15 : x
  2. Step 2: Convert to fraction form
    1,975.32/4,315.15 = 4,315.15/x
  3. Step 3: Cross multiply
    1,975.32x = 4,315.15 × 4,315.15
  4. Step 4: Simplify right side
    1,975.32x = 18,620,506.04
  5. Step 5: Solve for x
    x = 18,620,506.04/1,975.32
  6. Step 6: Final answer
    x = 9,426.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.