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Finding the Third Proportional to 27,321 and 59,583

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Solution

The third proportional to 27,321 and 59,583 is: 129,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321 : 59,583 = 59,583 : x
  2. Step 2: Convert to fraction form
    27,321/59,583 = 59,583/x
  3. Step 3: Cross multiply
    27,321x = 59,583 × 59,583
  4. Step 4: Simplify right side
    27,321x = 3,550,133,889
  5. Step 5: Solve for x
    x = 3,550,133,889/27,321
  6. Step 6: Final answer
    x = 129,941.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.