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Finding the Third Proportional to 46,464 and 67,968

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Solution

The third proportional to 46,464 and 67,968 is: 99,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 67,968 = 67,968 : x
  2. Step 2: Convert to fraction form
    46,464/67,968 = 67,968/x
  3. Step 3: Cross multiply
    46,464x = 67,968 × 67,968
  4. Step 4: Simplify right side
    46,464x = 4,619,649,024
  5. Step 5: Solve for x
    x = 4,619,649,024/46,464
  6. Step 6: Final answer
    x = 99,424.26

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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.