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Finding the Third Proportional to 26,000.50 and 56,152.50

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Solution

The third proportional to 26,000.50 and 56,152.50 is: 121,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.50 : 56,152.50 = 56,152.50 : x
  2. Step 2: Convert to fraction form
    26,000.50/56,152.50 = 56,152.50/x
  3. Step 3: Cross multiply
    26,000.50x = 56,152.50 × 56,152.50
  4. Step 4: Simplify right side
    26,000.50x = 3,153,103,256.25
  5. Step 5: Solve for x
    x = 3,153,103,256.25/26,000.50
  6. Step 6: Final answer
    x = 121,270.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.