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Finding the Third Proportional to 24,846.19 and 53,242.88

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Solution

The third proportional to 24,846.19 and 53,242.88 is: 114,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.19 : 53,242.88 = 53,242.88 : x
  2. Step 2: Convert to fraction form
    24,846.19/53,242.88 = 53,242.88/x
  3. Step 3: Cross multiply
    24,846.19x = 53,242.88 × 53,242.88
  4. Step 4: Simplify right side
    24,846.19x = 2,834,803,738.27
  5. Step 5: Solve for x
    x = 2,834,803,738.27/24,846.19
  6. Step 6: Final answer
    x = 114,094.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.