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Finding the Third Proportional to 7,556.25 and 17,779.13

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Solution

The third proportional to 7,556.25 and 17,779.13 is: 41,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.25 : 17,779.13 = 17,779.13 : x
  2. Step 2: Convert to fraction form
    7,556.25/17,779.13 = 17,779.13/x
  3. Step 3: Cross multiply
    7,556.25x = 17,779.13 × 17,779.13
  4. Step 4: Simplify right side
    7,556.25x = 316,097,285.77
  5. Step 5: Solve for x
    x = 316,097,285.77/7,556.25
  6. Step 6: Final answer
    x = 41,832.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.