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Finding the Third Proportional to 44,491.78 and 46,132.03

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Solution

The third proportional to 44,491.78 and 46,132.03 is: 47,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,491.78 : 46,132.03 = 46,132.03 : x
  2. Step 2: Convert to fraction form
    44,491.78/46,132.03 = 46,132.03/x
  3. Step 3: Cross multiply
    44,491.78x = 46,132.03 × 46,132.03
  4. Step 4: Simplify right side
    44,491.78x = 2,128,164,307.25
  5. Step 5: Solve for x
    x = 2,128,164,307.25/44,491.78
  6. Step 6: Final answer
    x = 47,832.75

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.