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Finding the Third Proportional to 32,656 and 48,894

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Solution

The third proportional to 32,656 and 48,894 is: 73,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656 : 48,894 = 48,894 : x
  2. Step 2: Convert to fraction form
    32,656/48,894 = 48,894/x
  3. Step 3: Cross multiply
    32,656x = 48,894 × 48,894
  4. Step 4: Simplify right side
    32,656x = 2,390,623,236
  5. Step 5: Solve for x
    x = 2,390,623,236/32,656
  6. Step 6: Final answer
    x = 73,206.25

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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.