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Finding the Third Proportional to 27,300 and 41,813

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Solution

The third proportional to 27,300 and 41,813 is: 64,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300 : 41,813 = 41,813 : x
  2. Step 2: Convert to fraction form
    27,300/41,813 = 41,813/x
  3. Step 3: Cross multiply
    27,300x = 41,813 × 41,813
  4. Step 4: Simplify right side
    27,300x = 1,748,326,969
  5. Step 5: Solve for x
    x = 1,748,326,969/27,300
  6. Step 6: Final answer
    x = 64,041.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.