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Finding the Third Proportional to 27,683 and 57,335

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Solution

The third proportional to 27,683 and 57,335 is: 118,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683 : 57,335 = 57,335 : x
  2. Step 2: Convert to fraction form
    27,683/57,335 = 57,335/x
  3. Step 3: Cross multiply
    27,683x = 57,335 × 57,335
  4. Step 4: Simplify right side
    27,683x = 3,287,302,225
  5. Step 5: Solve for x
    x = 3,287,302,225/27,683
  6. Step 6: Final answer
    x = 118,748.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.