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Finding the Third Proportional to 30,758 and 45,043

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Solution

The third proportional to 30,758 and 45,043 is: 65,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758 : 45,043 = 45,043 : x
  2. Step 2: Convert to fraction form
    30,758/45,043 = 45,043/x
  3. Step 3: Cross multiply
    30,758x = 45,043 × 45,043
  4. Step 4: Simplify right side
    30,758x = 2,028,871,849
  5. Step 5: Solve for x
    x = 2,028,871,849/30,758
  6. Step 6: Final answer
    x = 65,962.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.