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Finding the Third Proportional to 24,254.86 and 53,018.30

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Solution

The third proportional to 24,254.86 and 53,018.30 is: 115,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.86 : 53,018.30 = 53,018.30 : x
  2. Step 2: Convert to fraction form
    24,254.86/53,018.30 = 53,018.30/x
  3. Step 3: Cross multiply
    24,254.86x = 53,018.30 × 53,018.30
  4. Step 4: Simplify right side
    24,254.86x = 2,810,939,803.53
  5. Step 5: Solve for x
    x = 2,810,939,803.53/24,254.86
  6. Step 6: Final answer
    x = 115,891.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.