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Finding the Third Proportional to 7,244.63 and 15,446.16

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Solution

The third proportional to 7,244.63 and 15,446.16 is: 32,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.63 : 15,446.16 = 15,446.16 : x
  2. Step 2: Convert to fraction form
    7,244.63/15,446.16 = 15,446.16/x
  3. Step 3: Cross multiply
    7,244.63x = 15,446.16 × 15,446.16
  4. Step 4: Simplify right side
    7,244.63x = 238,583,742.90
  5. Step 5: Solve for x
    x = 238,583,742.90/7,244.63
  6. Step 6: Final answer
    x = 32,932.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.