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Finding the Third Proportional to 32,490 and 49,089

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Solution

The third proportional to 32,490 and 49,089 is: 74,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,490 : 49,089 = 49,089 : x
  2. Step 2: Convert to fraction form
    32,490/49,089 = 49,089/x
  3. Step 3: Cross multiply
    32,490x = 49,089 × 49,089
  4. Step 4: Simplify right side
    32,490x = 2,409,729,921
  5. Step 5: Solve for x
    x = 2,409,729,921/32,490
  6. Step 6: Final answer
    x = 74,168.36

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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.