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Finding the Third Proportional to 13,002.40 and 27,848.18

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Solution

The third proportional to 13,002.40 and 27,848.18 is: 59,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.40 : 27,848.18 = 27,848.18 : x
  2. Step 2: Convert to fraction form
    13,002.40/27,848.18 = 27,848.18/x
  3. Step 3: Cross multiply
    13,002.40x = 27,848.18 × 27,848.18
  4. Step 4: Simplify right side
    13,002.40x = 775,521,111.91
  5. Step 5: Solve for x
    x = 775,521,111.91/13,002.40
  6. Step 6: Final answer
    x = 59,644.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.