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Finding the Third Proportional to 48,003 and 74,009.75

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Solution

The third proportional to 48,003 and 74,009.75 is: 114,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,003 : 74,009.75 = 74,009.75 : x
  2. Step 2: Convert to fraction form
    48,003/74,009.75 = 74,009.75/x
  3. Step 3: Cross multiply
    48,003x = 74,009.75 × 74,009.75
  4. Step 4: Simplify right side
    48,003x = 5,477,443,095.06
  5. Step 5: Solve for x
    x = 5,477,443,095.06/48,003
  6. Step 6: Final answer
    x = 114,106.27

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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.