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Finding the Third Proportional to 28,388 and 33,428

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Solution

The third proportional to 28,388 and 33,428 is: 39,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,388 : 33,428 = 33,428 : x
  2. Step 2: Convert to fraction form
    28,388/33,428 = 33,428/x
  3. Step 3: Cross multiply
    28,388x = 33,428 × 33,428
  4. Step 4: Simplify right side
    28,388x = 1,117,431,184
  5. Step 5: Solve for x
    x = 1,117,431,184/28,388
  6. Step 6: Final answer
    x = 39,362.80

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.