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Finding the Third Proportional to 13,590 and 28,818

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Solution

The third proportional to 13,590 and 28,818 is: 61,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590 : 28,818 = 28,818 : x
  2. Step 2: Convert to fraction form
    13,590/28,818 = 28,818/x
  3. Step 3: Cross multiply
    13,590x = 28,818 × 28,818
  4. Step 4: Simplify right side
    13,590x = 830,477,124
  5. Step 5: Solve for x
    x = 830,477,124/13,590
  6. Step 6: Final answer
    x = 61,109.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.