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Finding the Third Proportional to 24,498.56 and 53,667.56

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Solution

The third proportional to 24,498.56 and 53,667.56 is: 117,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.56 : 53,667.56 = 53,667.56 : x
  2. Step 2: Convert to fraction form
    24,498.56/53,667.56 = 53,667.56/x
  3. Step 3: Cross multiply
    24,498.56x = 53,667.56 × 53,667.56
  4. Step 4: Simplify right side
    24,498.56x = 2,880,207,264.69
  5. Step 5: Solve for x
    x = 2,880,207,264.69/24,498.56
  6. Step 6: Final answer
    x = 117,566.38

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Why These Related Problems?

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