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Finding the Third Proportional to 52,869 and 70,482

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Solution

The third proportional to 52,869 and 70,482 is: 93,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,869 : 70,482 = 70,482 : x
  2. Step 2: Convert to fraction form
    52,869/70,482 = 70,482/x
  3. Step 3: Cross multiply
    52,869x = 70,482 × 70,482
  4. Step 4: Simplify right side
    52,869x = 4,967,712,324
  5. Step 5: Solve for x
    x = 4,967,712,324/52,869
  6. Step 6: Final answer
    x = 93,962.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.