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Finding the Third Proportional to 32,248 and 46,448.50

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Solution

The third proportional to 32,248 and 46,448.50 is: 66,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248 : 46,448.50 = 46,448.50 : x
  2. Step 2: Convert to fraction form
    32,248/46,448.50 = 46,448.50/x
  3. Step 3: Cross multiply
    32,248x = 46,448.50 × 46,448.50
  4. Step 4: Simplify right side
    32,248x = 2,157,463,152.25
  5. Step 5: Solve for x
    x = 2,157,463,152.25/32,248
  6. Step 6: Final answer
    x = 66,902.23

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.