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Finding the Third Proportional to 13,590 and 28,053

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Solution

The third proportional to 13,590 and 28,053 is: 57,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590 : 28,053 = 28,053 : x
  2. Step 2: Convert to fraction form
    13,590/28,053 = 28,053/x
  3. Step 3: Cross multiply
    13,590x = 28,053 × 28,053
  4. Step 4: Simplify right side
    13,590x = 786,970,809
  5. Step 5: Solve for x
    x = 786,970,809/13,590
  6. Step 6: Final answer
    x = 57,908.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.