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Finding the Third Proportional to 22,779.56 and 53,205.75

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Solution

The third proportional to 22,779.56 and 53,205.75 is: 124,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,779.56 : 53,205.75 = 53,205.75 : x
  2. Step 2: Convert to fraction form
    22,779.56/53,205.75 = 53,205.75/x
  3. Step 3: Cross multiply
    22,779.56x = 53,205.75 × 53,205.75
  4. Step 4: Simplify right side
    22,779.56x = 2,830,851,833.06
  5. Step 5: Solve for x
    x = 2,830,851,833.06/22,779.56
  6. Step 6: Final answer
    x = 124,271.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.