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Finding the Third Proportional to 14,716.69 and 28,714.50

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Solution

The third proportional to 14,716.69 and 28,714.50 is: 56,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.69 : 28,714.50 = 28,714.50 : x
  2. Step 2: Convert to fraction form
    14,716.69/28,714.50 = 28,714.50/x
  3. Step 3: Cross multiply
    14,716.69x = 28,714.50 × 28,714.50
  4. Step 4: Simplify right side
    14,716.69x = 824,522,510.25
  5. Step 5: Solve for x
    x = 824,522,510.25/14,716.69
  6. Step 6: Final answer
    x = 56,026.37

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.