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Finding the Third Proportional to 37,779.75 and 56,139.75

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Solution

The third proportional to 37,779.75 and 56,139.75 is: 83,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,779.75 : 56,139.75 = 56,139.75 : x
  2. Step 2: Convert to fraction form
    37,779.75/56,139.75 = 56,139.75/x
  3. Step 3: Cross multiply
    37,779.75x = 56,139.75 × 56,139.75
  4. Step 4: Simplify right side
    37,779.75x = 3,151,671,530.06
  5. Step 5: Solve for x
    x = 3,151,671,530.06/37,779.75
  6. Step 6: Final answer
    x = 83,422.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.