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Finding the Third Proportional to 46,703 and 64,222.50

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Solution

The third proportional to 46,703 and 64,222.50 is: 88,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,703 : 64,222.50 = 64,222.50 : x
  2. Step 2: Convert to fraction form
    46,703/64,222.50 = 64,222.50/x
  3. Step 3: Cross multiply
    46,703x = 64,222.50 × 64,222.50
  4. Step 4: Simplify right side
    46,703x = 4,124,529,506.25
  5. Step 5: Solve for x
    x = 4,124,529,506.25/46,703
  6. Step 6: Final answer
    x = 88,314.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.