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Finding the Third Proportional to 16,097 and 24,053

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Solution

The third proportional to 16,097 and 24,053 is: 35,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097 : 24,053 = 24,053 : x
  2. Step 2: Convert to fraction form
    16,097/24,053 = 24,053/x
  3. Step 3: Cross multiply
    16,097x = 24,053 × 24,053
  4. Step 4: Simplify right side
    16,097x = 578,546,809
  5. Step 5: Solve for x
    x = 578,546,809/16,097
  6. Step 6: Final answer
    x = 35,941.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.