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Finding the Third Proportional to 46,767 and 72,448.50

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Solution

The third proportional to 46,767 and 72,448.50 is: 112,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767 : 72,448.50 = 72,448.50 : x
  2. Step 2: Convert to fraction form
    46,767/72,448.50 = 72,448.50/x
  3. Step 3: Cross multiply
    46,767x = 72,448.50 × 72,448.50
  4. Step 4: Simplify right side
    46,767x = 5,248,785,152.25
  5. Step 5: Solve for x
    x = 5,248,785,152.25/46,767
  6. Step 6: Final answer
    x = 112,232.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.