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Finding the Third Proportional to 32,670 and 49,248

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Solution

The third proportional to 32,670 and 49,248 is: 74,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,670 : 49,248 = 49,248 : x
  2. Step 2: Convert to fraction form
    32,670/49,248 = 49,248/x
  3. Step 3: Cross multiply
    32,670x = 49,248 × 49,248
  4. Step 4: Simplify right side
    32,670x = 2,425,365,504
  5. Step 5: Solve for x
    x = 2,425,365,504/32,670
  6. Step 6: Final answer
    x = 74,238.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.