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Finding the Third Proportional to 24,576 and 53,088

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Solution

The third proportional to 24,576 and 53,088 is: 114,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576 : 53,088 = 53,088 : x
  2. Step 2: Convert to fraction form
    24,576/53,088 = 53,088/x
  3. Step 3: Cross multiply
    24,576x = 53,088 × 53,088
  4. Step 4: Simplify right side
    24,576x = 2,818,335,744
  5. Step 5: Solve for x
    x = 2,818,335,744/24,576
  6. Step 6: Final answer
    x = 114,678.38

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Why These Related Problems?

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