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Finding the Third Proportional to 17,045.75 and 36,460.50

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Solution

The third proportional to 17,045.75 and 36,460.50 is: 77,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,045.75 : 36,460.50 = 36,460.50 : x
  2. Step 2: Convert to fraction form
    17,045.75/36,460.50 = 36,460.50/x
  3. Step 3: Cross multiply
    17,045.75x = 36,460.50 × 36,460.50
  4. Step 4: Simplify right side
    17,045.75x = 1,329,368,060.25
  5. Step 5: Solve for x
    x = 1,329,368,060.25/17,045.75
  6. Step 6: Final answer
    x = 77,988.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.