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Finding the Third Proportional to 47,779.88 and 74,130.19

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Solution

The third proportional to 47,779.88 and 74,130.19 is: 115,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.88 : 74,130.19 = 74,130.19 : x
  2. Step 2: Convert to fraction form
    47,779.88/74,130.19 = 74,130.19/x
  3. Step 3: Cross multiply
    47,779.88x = 74,130.19 × 74,130.19
  4. Step 4: Simplify right side
    47,779.88x = 5,495,284,698.79
  5. Step 5: Solve for x
    x = 5,495,284,698.79/47,779.88
  6. Step 6: Final answer
    x = 115,012.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.