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Finding the Third Proportional to 32,388 and 70,310

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Solution

The third proportional to 32,388 and 70,310 is: 152,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,388 : 70,310 = 70,310 : x
  2. Step 2: Convert to fraction form
    32,388/70,310 = 70,310/x
  3. Step 3: Cross multiply
    32,388x = 70,310 × 70,310
  4. Step 4: Simplify right side
    32,388x = 4,943,496,100
  5. Step 5: Solve for x
    x = 4,943,496,100/32,388
  6. Step 6: Final answer
    x = 152,633.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.