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Finding the Third Proportional to 4,141 and 9,674.50

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Solution

The third proportional to 4,141 and 9,674.50 is: 22,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141 : 9,674.50 = 9,674.50 : x
  2. Step 2: Convert to fraction form
    4,141/9,674.50 = 9,674.50/x
  3. Step 3: Cross multiply
    4,141x = 9,674.50 × 9,674.50
  4. Step 4: Simplify right side
    4,141x = 93,595,950.25
  5. Step 5: Solve for x
    x = 93,595,950.25/4,141
  6. Step 6: Final answer
    x = 22,602.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.