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Finding the Third Proportional to 30,048.75 and 64,119.66

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Solution

The third proportional to 30,048.75 and 64,119.66 is: 136,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,048.75 : 64,119.66 = 64,119.66 : x
  2. Step 2: Convert to fraction form
    30,048.75/64,119.66 = 64,119.66/x
  3. Step 3: Cross multiply
    30,048.75x = 64,119.66 × 64,119.66
  4. Step 4: Simplify right side
    30,048.75x = 4,111,330,317.62
  5. Step 5: Solve for x
    x = 4,111,330,317.62/30,048.75
  6. Step 6: Final answer
    x = 136,822.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.