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Finding the Third Proportional to 24,688 and 53,123

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Solution

The third proportional to 24,688 and 53,123 is: 114,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688 : 53,123 = 53,123 : x
  2. Step 2: Convert to fraction form
    24,688/53,123 = 53,123/x
  3. Step 3: Cross multiply
    24,688x = 53,123 × 53,123
  4. Step 4: Simplify right side
    24,688x = 2,822,053,129
  5. Step 5: Solve for x
    x = 2,822,053,129/24,688
  6. Step 6: Final answer
    x = 114,308.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.