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Finding the Third Proportional to 30,040.88 and 45,015.75

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Solution

The third proportional to 30,040.88 and 45,015.75 is: 67,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,040.88 : 45,015.75 = 45,015.75 : x
  2. Step 2: Convert to fraction form
    30,040.88/45,015.75 = 45,015.75/x
  3. Step 3: Cross multiply
    30,040.88x = 45,015.75 × 45,015.75
  4. Step 4: Simplify right side
    30,040.88x = 2,026,417,748.06
  5. Step 5: Solve for x
    x = 2,026,417,748.06/30,040.88
  6. Step 6: Final answer
    x = 67,455.35

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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.