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Finding the Third Proportional to 14,688.84 and 21,404.88

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Solution

The third proportional to 14,688.84 and 21,404.88 is: 31,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688.84 : 21,404.88 = 21,404.88 : x
  2. Step 2: Convert to fraction form
    14,688.84/21,404.88 = 21,404.88/x
  3. Step 3: Cross multiply
    14,688.84x = 21,404.88 × 21,404.88
  4. Step 4: Simplify right side
    14,688.84x = 458,169,008.22
  5. Step 5: Solve for x
    x = 458,169,008.22/14,688.84
  6. Step 6: Final answer
    x = 31,191.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.