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Finding the Third Proportional to 36,706 and 55,403

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Solution

The third proportional to 36,706 and 55,403 is: 83,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,706 : 55,403 = 55,403 : x
  2. Step 2: Convert to fraction form
    36,706/55,403 = 55,403/x
  3. Step 3: Cross multiply
    36,706x = 55,403 × 55,403
  4. Step 4: Simplify right side
    36,706x = 3,069,492,409
  5. Step 5: Solve for x
    x = 3,069,492,409/36,706
  6. Step 6: Final answer
    x = 83,623.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.