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Finding the Third Proportional to 9,324 and 20,038.50

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Solution

The third proportional to 9,324 and 20,038.50 is: 43,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 20,038.50 = 20,038.50 : x
  2. Step 2: Convert to fraction form
    9,324/20,038.50 = 20,038.50/x
  3. Step 3: Cross multiply
    9,324x = 20,038.50 × 20,038.50
  4. Step 4: Simplify right side
    9,324x = 401,541,482.25
  5. Step 5: Solve for x
    x = 401,541,482.25/9,324
  6. Step 6: Final answer
    x = 43,065.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.