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Finding the Third Proportional to 9,969 and 12,946.50

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Solution

The third proportional to 9,969 and 12,946.50 is: 16,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969 : 12,946.50 = 12,946.50 : x
  2. Step 2: Convert to fraction form
    9,969/12,946.50 = 12,946.50/x
  3. Step 3: Cross multiply
    9,969x = 12,946.50 × 12,946.50
  4. Step 4: Simplify right side
    9,969x = 167,611,862.25
  5. Step 5: Solve for x
    x = 167,611,862.25/9,969
  6. Step 6: Final answer
    x = 16,813.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.