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Finding the Third Proportional to 30,253.50 and 76,590.56

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Solution

The third proportional to 30,253.50 and 76,590.56 is: 193,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.50 : 76,590.56 = 76,590.56 : x
  2. Step 2: Convert to fraction form
    30,253.50/76,590.56 = 76,590.56/x
  3. Step 3: Cross multiply
    30,253.50x = 76,590.56 × 76,590.56
  4. Step 4: Simplify right side
    30,253.50x = 5,866,114,264.07
  5. Step 5: Solve for x
    x = 5,866,114,264.07/30,253.50
  6. Step 6: Final answer
    x = 193,898.70

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These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.