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Finding the Third Proportional to 32,989 and 49,484

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Solution

The third proportional to 32,989 and 49,484 is: 74,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989 : 49,484 = 49,484 : x
  2. Step 2: Convert to fraction form
    32,989/49,484 = 49,484/x
  3. Step 3: Cross multiply
    32,989x = 49,484 × 49,484
  4. Step 4: Simplify right side
    32,989x = 2,448,666,256
  5. Step 5: Solve for x
    x = 2,448,666,256/32,989
  6. Step 6: Final answer
    x = 74,226.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.