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Finding the Third Proportional to 32,232 and 70,368

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Solution

The third proportional to 32,232 and 70,368 is: 153,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232 : 70,368 = 70,368 : x
  2. Step 2: Convert to fraction form
    32,232/70,368 = 70,368/x
  3. Step 3: Cross multiply
    32,232x = 70,368 × 70,368
  4. Step 4: Simplify right side
    32,232x = 4,951,655,424
  5. Step 5: Solve for x
    x = 4,951,655,424/32,232
  6. Step 6: Final answer
    x = 153,625.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.