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Finding the Third Proportional to 23,699.13 and 51,862.25

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Solution

The third proportional to 23,699.13 and 51,862.25 is: 113,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699.13 : 51,862.25 = 51,862.25 : x
  2. Step 2: Convert to fraction form
    23,699.13/51,862.25 = 51,862.25/x
  3. Step 3: Cross multiply
    23,699.13x = 51,862.25 × 51,862.25
  4. Step 4: Simplify right side
    23,699.13x = 2,689,692,975.06
  5. Step 5: Solve for x
    x = 2,689,692,975.06/23,699.13
  6. Step 6: Final answer
    x = 113,493.35

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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.