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Finding the Third Proportional to 32,464 and 70,116

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Solution

The third proportional to 32,464 and 70,116 is: 151,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464 : 70,116 = 70,116 : x
  2. Step 2: Convert to fraction form
    32,464/70,116 = 70,116/x
  3. Step 3: Cross multiply
    32,464x = 70,116 × 70,116
  4. Step 4: Simplify right side
    32,464x = 4,916,253,456
  5. Step 5: Solve for x
    x = 4,916,253,456/32,464
  6. Step 6: Final answer
    x = 151,437.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.