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Finding the Third Proportional to 35,097 and 51,303

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Solution

The third proportional to 35,097 and 51,303 is: 74,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097 : 51,303 = 51,303 : x
  2. Step 2: Convert to fraction form
    35,097/51,303 = 51,303/x
  3. Step 3: Cross multiply
    35,097x = 51,303 × 51,303
  4. Step 4: Simplify right side
    35,097x = 2,631,997,809
  5. Step 5: Solve for x
    x = 2,631,997,809/35,097
  6. Step 6: Final answer
    x = 74,992.10

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Why These Related Problems?

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