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Finding the Third Proportional to 18,943 and 35,516

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Solution

The third proportional to 18,943 and 35,516 is: 66,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,943 : 35,516 = 35,516 : x
  2. Step 2: Convert to fraction form
    18,943/35,516 = 35,516/x
  3. Step 3: Cross multiply
    18,943x = 35,516 × 35,516
  4. Step 4: Simplify right side
    18,943x = 1,261,386,256
  5. Step 5: Solve for x
    x = 1,261,386,256/18,943
  6. Step 6: Final answer
    x = 66,588.52

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.