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Finding the Third Proportional to 32,130 and 49,446

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Solution

The third proportional to 32,130 and 49,446 is: 76,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,130 : 49,446 = 49,446 : x
  2. Step 2: Convert to fraction form
    32,130/49,446 = 49,446/x
  3. Step 3: Cross multiply
    32,130x = 49,446 × 49,446
  4. Step 4: Simplify right side
    32,130x = 2,444,906,916
  5. Step 5: Solve for x
    x = 2,444,906,916/32,130
  6. Step 6: Final answer
    x = 76,094.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.