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Finding the Third Proportional to 13,046 and 19,527

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Solution

The third proportional to 13,046 and 19,527 is: 29,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046 : 19,527 = 19,527 : x
  2. Step 2: Convert to fraction form
    13,046/19,527 = 19,527/x
  3. Step 3: Cross multiply
    13,046x = 19,527 × 19,527
  4. Step 4: Simplify right side
    13,046x = 381,303,729
  5. Step 5: Solve for x
    x = 381,303,729/13,046
  6. Step 6: Final answer
    x = 29,227.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.