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Finding the Third Proportional to 13,428 and 15,524

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Solution

The third proportional to 13,428 and 15,524 is: 17,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428 : 15,524 = 15,524 : x
  2. Step 2: Convert to fraction form
    13,428/15,524 = 15,524/x
  3. Step 3: Cross multiply
    13,428x = 15,524 × 15,524
  4. Step 4: Simplify right side
    13,428x = 240,994,576
  5. Step 5: Solve for x
    x = 240,994,576/13,428
  6. Step 6: Final answer
    x = 17,947.17

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.