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Finding the Third Proportional to 34,554.75 and 72,590.25

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Solution

The third proportional to 34,554.75 and 72,590.25 is: 152,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,554.75 : 72,590.25 = 72,590.25 : x
  2. Step 2: Convert to fraction form
    34,554.75/72,590.25 = 72,590.25/x
  3. Step 3: Cross multiply
    34,554.75x = 72,590.25 × 72,590.25
  4. Step 4: Simplify right side
    34,554.75x = 5,269,344,395.06
  5. Step 5: Solve for x
    x = 5,269,344,395.06/34,554.75
  6. Step 6: Final answer
    x = 152,492.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.