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Finding the Third Proportional to 32,278 and 70,396

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Solution

The third proportional to 32,278 and 70,396 is: 153,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278 : 70,396 = 70,396 : x
  2. Step 2: Convert to fraction form
    32,278/70,396 = 70,396/x
  3. Step 3: Cross multiply
    32,278x = 70,396 × 70,396
  4. Step 4: Simplify right side
    32,278x = 4,955,596,816
  5. Step 5: Solve for x
    x = 4,955,596,816/32,278
  6. Step 6: Final answer
    x = 153,528.62

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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.