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Finding the Third Proportional to 14,308 and 16,468

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Solution

The third proportional to 14,308 and 16,468 is: 18,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308 : 16,468 = 16,468 : x
  2. Step 2: Convert to fraction form
    14,308/16,468 = 16,468/x
  3. Step 3: Cross multiply
    14,308x = 16,468 × 16,468
  4. Step 4: Simplify right side
    14,308x = 271,195,024
  5. Step 5: Solve for x
    x = 271,195,024/14,308
  6. Step 6: Final answer
    x = 18,954.08

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.