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Finding the Third Proportional to 9,341.74 and 18,423.98

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Solution

The third proportional to 9,341.74 and 18,423.98 is: 36,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.74 : 18,423.98 = 18,423.98 : x
  2. Step 2: Convert to fraction form
    9,341.74/18,423.98 = 18,423.98/x
  3. Step 3: Cross multiply
    9,341.74x = 18,423.98 × 18,423.98
  4. Step 4: Simplify right side
    9,341.74x = 339,443,038.32
  5. Step 5: Solve for x
    x = 339,443,038.32/9,341.74
  6. Step 6: Final answer
    x = 36,336.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.