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Finding the Third Proportional to 9,068.63 and 19,238.34

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Solution

The third proportional to 9,068.63 and 19,238.34 is: 40,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.63 : 19,238.34 = 19,238.34 : x
  2. Step 2: Convert to fraction form
    9,068.63/19,238.34 = 19,238.34/x
  3. Step 3: Cross multiply
    9,068.63x = 19,238.34 × 19,238.34
  4. Step 4: Simplify right side
    9,068.63x = 370,113,870.24
  5. Step 5: Solve for x
    x = 370,113,870.24/9,068.63
  6. Step 6: Final answer
    x = 40,812.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.