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Finding the Third Proportional to 27,205.88 and 42,045.75

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Solution

The third proportional to 27,205.88 and 42,045.75 is: 64,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.88 : 42,045.75 = 42,045.75 : x
  2. Step 2: Convert to fraction form
    27,205.88/42,045.75 = 42,045.75/x
  3. Step 3: Cross multiply
    27,205.88x = 42,045.75 × 42,045.75
  4. Step 4: Simplify right side
    27,205.88x = 1,767,845,093.06
  5. Step 5: Solve for x
    x = 1,767,845,093.06/27,205.88
  6. Step 6: Final answer
    x = 64,980.27

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