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Finding the Third Proportional to 48,656 and 72,984

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Solution

The third proportional to 48,656 and 72,984 is: 109,476

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656 : 72,984 = 72,984 : x
  2. Step 2: Convert to fraction form
    48,656/72,984 = 72,984/x
  3. Step 3: Cross multiply
    48,656x = 72,984 × 72,984
  4. Step 4: Simplify right side
    48,656x = 5,326,664,256
  5. Step 5: Solve for x
    x = 5,326,664,256/48,656
  6. Step 6: Final answer
    x = 109,476

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.