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Finding the Third Proportional to 15,994 and 35,478

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Solution

The third proportional to 15,994 and 35,478 is: 78,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994 : 35,478 = 35,478 : x
  2. Step 2: Convert to fraction form
    15,994/35,478 = 35,478/x
  3. Step 3: Cross multiply
    15,994x = 35,478 × 35,478
  4. Step 4: Simplify right side
    15,994x = 1,258,688,484
  5. Step 5: Solve for x
    x = 1,258,688,484/15,994
  6. Step 6: Final answer
    x = 78,697.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.