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Finding the Third Proportional to 48,006 and 65,926.50

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Solution

The third proportional to 48,006 and 65,926.50 is: 90,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,006 : 65,926.50 = 65,926.50 : x
  2. Step 2: Convert to fraction form
    48,006/65,926.50 = 65,926.50/x
  3. Step 3: Cross multiply
    48,006x = 65,926.50 × 65,926.50
  4. Step 4: Simplify right side
    48,006x = 4,346,303,402.25
  5. Step 5: Solve for x
    x = 4,346,303,402.25/48,006
  6. Step 6: Final answer
    x = 90,536.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.