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Finding the Third Proportional to 58,228.50 and 76,675.50

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Solution

The third proportional to 58,228.50 and 76,675.50 is: 100,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,228.50 : 76,675.50 = 76,675.50 : x
  2. Step 2: Convert to fraction form
    58,228.50/76,675.50 = 76,675.50/x
  3. Step 3: Cross multiply
    58,228.50x = 76,675.50 × 76,675.50
  4. Step 4: Simplify right side
    58,228.50x = 5,879,132,300.25
  5. Step 5: Solve for x
    x = 5,879,132,300.25/58,228.50
  6. Step 6: Final answer
    x = 100,966.58

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.