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Finding the Third Proportional to 12,046.50 and 14,719.50

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Solution

The third proportional to 12,046.50 and 14,719.50 is: 17,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.50 : 14,719.50 = 14,719.50 : x
  2. Step 2: Convert to fraction form
    12,046.50/14,719.50 = 14,719.50/x
  3. Step 3: Cross multiply
    12,046.50x = 14,719.50 × 14,719.50
  4. Step 4: Simplify right side
    12,046.50x = 216,663,680.25
  5. Step 5: Solve for x
    x = 216,663,680.25/12,046.50
  6. Step 6: Final answer
    x = 17,985.61

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.