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Finding the Third Proportional to 54,465.75 and 75,002.63

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Solution

The third proportional to 54,465.75 and 75,002.63 is: 103,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,465.75 : 75,002.63 = 75,002.63 : x
  2. Step 2: Convert to fraction form
    54,465.75/75,002.63 = 75,002.63/x
  3. Step 3: Cross multiply
    54,465.75x = 75,002.63 × 75,002.63
  4. Step 4: Simplify right side
    54,465.75x = 5,625,393,756.89
  5. Step 5: Solve for x
    x = 5,625,393,756.89/54,465.75
  6. Step 6: Final answer
    x = 103,283.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.