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Finding the Third Proportional to 46,404.56 and 72,378.56

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Solution

The third proportional to 46,404.56 and 72,378.56 is: 112,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,404.56 : 72,378.56 = 72,378.56 : x
  2. Step 2: Convert to fraction form
    46,404.56/72,378.56 = 72,378.56/x
  3. Step 3: Cross multiply
    46,404.56x = 72,378.56 × 72,378.56
  4. Step 4: Simplify right side
    46,404.56x = 5,238,656,309.57
  5. Step 5: Solve for x
    x = 5,238,656,309.57/46,404.56
  6. Step 6: Final answer
    x = 112,890.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.