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Finding the Third Proportional to 14,490 and 16,008.75

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Solution

The third proportional to 14,490 and 16,008.75 is: 17,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490 : 16,008.75 = 16,008.75 : x
  2. Step 2: Convert to fraction form
    14,490/16,008.75 = 16,008.75/x
  3. Step 3: Cross multiply
    14,490x = 16,008.75 × 16,008.75
  4. Step 4: Simplify right side
    14,490x = 256,280,076.56
  5. Step 5: Solve for x
    x = 256,280,076.56/14,490
  6. Step 6: Final answer
    x = 17,686.69

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.