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Finding the Third Proportional to 38,862.75 and 49,298.63

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Solution

The third proportional to 38,862.75 and 49,298.63 is: 62,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862.75 : 49,298.63 = 49,298.63 : x
  2. Step 2: Convert to fraction form
    38,862.75/49,298.63 = 49,298.63/x
  3. Step 3: Cross multiply
    38,862.75x = 49,298.63 × 49,298.63
  4. Step 4: Simplify right side
    38,862.75x = 2,430,354,426.89
  5. Step 5: Solve for x
    x = 2,430,354,426.89/38,862.75
  6. Step 6: Final answer
    x = 62,536.86

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.