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Finding the Third Proportional to 35,008 and 72,968

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Solution

The third proportional to 35,008 and 72,968 is: 152,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,008 : 72,968 = 72,968 : x
  2. Step 2: Convert to fraction form
    35,008/72,968 = 72,968/x
  3. Step 3: Cross multiply
    35,008x = 72,968 × 72,968
  4. Step 4: Simplify right side
    35,008x = 5,324,329,024
  5. Step 5: Solve for x
    x = 5,324,329,024/35,008
  6. Step 6: Final answer
    x = 152,088.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.