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Finding the Third Proportional to 41,746.64 and 47,487.52

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Solution

The third proportional to 41,746.64 and 47,487.52 is: 54,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,746.64 : 47,487.52 = 47,487.52 : x
  2. Step 2: Convert to fraction form
    41,746.64/47,487.52 = 47,487.52/x
  3. Step 3: Cross multiply
    41,746.64x = 47,487.52 × 47,487.52
  4. Step 4: Simplify right side
    41,746.64x = 2,255,064,140.23
  5. Step 5: Solve for x
    x = 2,255,064,140.23/41,746.64
  6. Step 6: Final answer
    x = 54,017.86

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.