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Finding the Third Proportional to 37,388 and 53,328

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Solution

The third proportional to 37,388 and 53,328 is: 76,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,388 : 53,328 = 53,328 : x
  2. Step 2: Convert to fraction form
    37,388/53,328 = 53,328/x
  3. Step 3: Cross multiply
    37,388x = 53,328 × 53,328
  4. Step 4: Simplify right side
    37,388x = 2,843,875,584
  5. Step 5: Solve for x
    x = 2,843,875,584/37,388
  6. Step 6: Final answer
    x = 76,063.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.