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Finding the Third Proportional to 13,577.63 and 21,605.06

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Solution

The third proportional to 13,577.63 and 21,605.06 is: 34,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.63 : 21,605.06 = 21,605.06 : x
  2. Step 2: Convert to fraction form
    13,577.63/21,605.06 = 21,605.06/x
  3. Step 3: Cross multiply
    13,577.63x = 21,605.06 × 21,605.06
  4. Step 4: Simplify right side
    13,577.63x = 466,778,725.63
  5. Step 5: Solve for x
    x = 466,778,725.63/13,577.63
  6. Step 6: Final answer
    x = 34,378.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.