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Finding the Third Proportional to 32,430 and 48,444

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Solution

The third proportional to 32,430 and 48,444 is: 72,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430 : 48,444 = 48,444 : x
  2. Step 2: Convert to fraction form
    32,430/48,444 = 48,444/x
  3. Step 3: Cross multiply
    32,430x = 48,444 × 48,444
  4. Step 4: Simplify right side
    32,430x = 2,346,821,136
  5. Step 5: Solve for x
    x = 2,346,821,136/32,430
  6. Step 6: Final answer
    x = 72,365.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.