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Finding the Third Proportional to 24,988.50 and 53,865

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Solution

The third proportional to 24,988.50 and 53,865 is: 116,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,988.50 : 53,865 = 53,865 : x
  2. Step 2: Convert to fraction form
    24,988.50/53,865 = 53,865/x
  3. Step 3: Cross multiply
    24,988.50x = 53,865 × 53,865
  4. Step 4: Simplify right side
    24,988.50x = 2,901,438,225
  5. Step 5: Solve for x
    x = 2,901,438,225/24,988.50
  6. Step 6: Final answer
    x = 116,110.94

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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.