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Finding the Third Proportional to 13,033 and 26,528

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Solution

The third proportional to 13,033 and 26,528 is: 53,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033 : 26,528 = 26,528 : x
  2. Step 2: Convert to fraction form
    13,033/26,528 = 26,528/x
  3. Step 3: Cross multiply
    13,033x = 26,528 × 26,528
  4. Step 4: Simplify right side
    13,033x = 703,734,784
  5. Step 5: Solve for x
    x = 703,734,784/13,033
  6. Step 6: Final answer
    x = 53,996.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.