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Finding the Third Proportional to 48,354 and 70,875

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Solution

The third proportional to 48,354 and 70,875 is: 103,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,354 : 70,875 = 70,875 : x
  2. Step 2: Convert to fraction form
    48,354/70,875 = 70,875/x
  3. Step 3: Cross multiply
    48,354x = 70,875 × 70,875
  4. Step 4: Simplify right side
    48,354x = 5,023,265,625
  5. Step 5: Solve for x
    x = 5,023,265,625/48,354
  6. Step 6: Final answer
    x = 103,885.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.