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Finding the Third Proportional to 30,755.75 and 45,973

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Solution

The third proportional to 30,755.75 and 45,973 is: 68,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.75 : 45,973 = 45,973 : x
  2. Step 2: Convert to fraction form
    30,755.75/45,973 = 45,973/x
  3. Step 3: Cross multiply
    30,755.75x = 45,973 × 45,973
  4. Step 4: Simplify right side
    30,755.75x = 2,113,516,729
  5. Step 5: Solve for x
    x = 2,113,516,729/30,755.75
  6. Step 6: Final answer
    x = 68,719.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.