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Finding the Third Proportional to 35,232 and 47,986

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Solution

The third proportional to 35,232 and 47,986 is: 65,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,232 : 47,986 = 47,986 : x
  2. Step 2: Convert to fraction form
    35,232/47,986 = 47,986/x
  3. Step 3: Cross multiply
    35,232x = 47,986 × 47,986
  4. Step 4: Simplify right side
    35,232x = 2,302,656,196
  5. Step 5: Solve for x
    x = 2,302,656,196/35,232
  6. Step 6: Final answer
    x = 65,356.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.