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Finding the Third Proportional to 16,254 and 35,342

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Solution

The third proportional to 16,254 and 35,342 is: 76,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254 : 35,342 = 35,342 : x
  2. Step 2: Convert to fraction form
    16,254/35,342 = 35,342/x
  3. Step 3: Cross multiply
    16,254x = 35,342 × 35,342
  4. Step 4: Simplify right side
    16,254x = 1,249,056,964
  5. Step 5: Solve for x
    x = 1,249,056,964/16,254
  6. Step 6: Final answer
    x = 76,846.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.