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Finding the Third Proportional to 44,415 and 65,946

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Solution

The third proportional to 44,415 and 65,946 is: 97,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,415 : 65,946 = 65,946 : x
  2. Step 2: Convert to fraction form
    44,415/65,946 = 65,946/x
  3. Step 3: Cross multiply
    44,415x = 65,946 × 65,946
  4. Step 4: Simplify right side
    44,415x = 4,348,874,916
  5. Step 5: Solve for x
    x = 4,348,874,916/44,415
  6. Step 6: Final answer
    x = 97,914.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.