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Finding the Third Proportional to 43,464 and 63,960

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Solution

The third proportional to 43,464 and 63,960 is: 94,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464 : 63,960 = 63,960 : x
  2. Step 2: Convert to fraction form
    43,464/63,960 = 63,960/x
  3. Step 3: Cross multiply
    43,464x = 63,960 × 63,960
  4. Step 4: Simplify right side
    43,464x = 4,090,881,600
  5. Step 5: Solve for x
    x = 4,090,881,600/43,464
  6. Step 6: Final answer
    x = 94,121.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.