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Finding the Third Proportional to 48,423 and 64,945.50

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Solution

The third proportional to 48,423 and 64,945.50 is: 87,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,423 : 64,945.50 = 64,945.50 : x
  2. Step 2: Convert to fraction form
    48,423/64,945.50 = 64,945.50/x
  3. Step 3: Cross multiply
    48,423x = 64,945.50 × 64,945.50
  4. Step 4: Simplify right side
    48,423x = 4,217,917,970.25
  5. Step 5: Solve for x
    x = 4,217,917,970.25/48,423
  6. Step 6: Final answer
    x = 87,105.67

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.