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Finding the Third Proportional to 12,649.50 and 19,636.50

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Solution

The third proportional to 12,649.50 and 19,636.50 is: 30,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.50 : 19,636.50 = 19,636.50 : x
  2. Step 2: Convert to fraction form
    12,649.50/19,636.50 = 19,636.50/x
  3. Step 3: Cross multiply
    12,649.50x = 19,636.50 × 19,636.50
  4. Step 4: Simplify right side
    12,649.50x = 385,592,132.25
  5. Step 5: Solve for x
    x = 385,592,132.25/12,649.50
  6. Step 6: Final answer
    x = 30,482.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.