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Finding the Third Proportional to 13,575 and 28,023

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Solution

The third proportional to 13,575 and 28,023 is: 57,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575 : 28,023 = 28,023 : x
  2. Step 2: Convert to fraction form
    13,575/28,023 = 28,023/x
  3. Step 3: Cross multiply
    13,575x = 28,023 × 28,023
  4. Step 4: Simplify right side
    13,575x = 785,288,529
  5. Step 5: Solve for x
    x = 785,288,529/13,575
  6. Step 6: Final answer
    x = 57,848.14

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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.