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Finding the Third Proportional to 23,702.63 and 51,863.63

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Solution

The third proportional to 23,702.63 and 51,863.63 is: 113,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.63 : 51,863.63 = 51,863.63 : x
  2. Step 2: Convert to fraction form
    23,702.63/51,863.63 = 51,863.63/x
  3. Step 3: Cross multiply
    23,702.63x = 51,863.63 × 51,863.63
  4. Step 4: Simplify right side
    23,702.63x = 2,689,835,598.14
  5. Step 5: Solve for x
    x = 2,689,835,598.14/23,702.63
  6. Step 6: Final answer
    x = 113,482.60

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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.