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Finding the Third Proportional to 13,740 and 25,518

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Solution

The third proportional to 13,740 and 25,518 is: 47,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 25,518 = 25,518 : x
  2. Step 2: Convert to fraction form
    13,740/25,518 = 25,518/x
  3. Step 3: Cross multiply
    13,740x = 25,518 × 25,518
  4. Step 4: Simplify right side
    13,740x = 651,168,324
  5. Step 5: Solve for x
    x = 651,168,324/13,740
  6. Step 6: Final answer
    x = 47,392.16

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.