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Finding the Third Proportional to 13,070 and 19,048

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Solution

The third proportional to 13,070 and 19,048 is: 27,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070 : 19,048 = 19,048 : x
  2. Step 2: Convert to fraction form
    13,070/19,048 = 19,048/x
  3. Step 3: Cross multiply
    13,070x = 19,048 × 19,048
  4. Step 4: Simplify right side
    13,070x = 362,826,304
  5. Step 5: Solve for x
    x = 362,826,304/13,070
  6. Step 6: Final answer
    x = 27,760.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.