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Finding the Third Proportional to 24,055.50 and 52,758

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Solution

The third proportional to 24,055.50 and 52,758 is: 115,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,055.50 : 52,758 = 52,758 : x
  2. Step 2: Convert to fraction form
    24,055.50/52,758 = 52,758/x
  3. Step 3: Cross multiply
    24,055.50x = 52,758 × 52,758
  4. Step 4: Simplify right side
    24,055.50x = 2,783,406,564
  5. Step 5: Solve for x
    x = 2,783,406,564/24,055.50
  6. Step 6: Final answer
    x = 115,707.70

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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.