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Finding the Third Proportional to 28,021.50 and 59,746.50

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Solution

The third proportional to 28,021.50 and 59,746.50 is: 127,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,021.50 : 59,746.50 = 59,746.50 : x
  2. Step 2: Convert to fraction form
    28,021.50/59,746.50 = 59,746.50/x
  3. Step 3: Cross multiply
    28,021.50x = 59,746.50 × 59,746.50
  4. Step 4: Simplify right side
    28,021.50x = 3,569,644,262.25
  5. Step 5: Solve for x
    x = 3,569,644,262.25/28,021.50
  6. Step 6: Final answer
    x = 127,389.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.