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Finding the Third Proportional to 25,862.63 and 41,488.88

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Solution

The third proportional to 25,862.63 and 41,488.88 is: 66,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.63 : 41,488.88 = 41,488.88 : x
  2. Step 2: Convert to fraction form
    25,862.63/41,488.88 = 41,488.88/x
  3. Step 3: Cross multiply
    25,862.63x = 41,488.88 × 41,488.88
  4. Step 4: Simplify right side
    25,862.63x = 1,721,326,748.77
  5. Step 5: Solve for x
    x = 1,721,326,748.77/25,862.63
  6. Step 6: Final answer
    x = 66,556.54

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.