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Finding the Third Proportional to 29,742.19 and 47,278.69

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Solution

The third proportional to 29,742.19 and 47,278.69 is: 75,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.19 : 47,278.69 = 47,278.69 : x
  2. Step 2: Convert to fraction form
    29,742.19/47,278.69 = 47,278.69/x
  3. Step 3: Cross multiply
    29,742.19x = 47,278.69 × 47,278.69
  4. Step 4: Simplify right side
    29,742.19x = 2,235,274,291.72
  5. Step 5: Solve for x
    x = 2,235,274,291.72/29,742.19
  6. Step 6: Final answer
    x = 75,155.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.