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Finding the Third Proportional to 13,306 and 19,526

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Solution

The third proportional to 13,306 and 19,526 is: 28,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306 : 19,526 = 19,526 : x
  2. Step 2: Convert to fraction form
    13,306/19,526 = 19,526/x
  3. Step 3: Cross multiply
    13,306x = 19,526 × 19,526
  4. Step 4: Simplify right side
    13,306x = 381,264,676
  5. Step 5: Solve for x
    x = 381,264,676/13,306
  6. Step 6: Final answer
    x = 28,653.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.