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Finding the Third Proportional to 11,353.50 and 12,973.50

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Solution

The third proportional to 11,353.50 and 12,973.50 is: 14,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.50 : 12,973.50 = 12,973.50 : x
  2. Step 2: Convert to fraction form
    11,353.50/12,973.50 = 12,973.50/x
  3. Step 3: Cross multiply
    11,353.50x = 12,973.50 × 12,973.50
  4. Step 4: Simplify right side
    11,353.50x = 168,311,702.25
  5. Step 5: Solve for x
    x = 168,311,702.25/11,353.50
  6. Step 6: Final answer
    x = 14,824.65

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.