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Finding the Third Proportional to 47,900.63 and 72,513.56

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Solution

The third proportional to 47,900.63 and 72,513.56 is: 109,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,900.63 : 72,513.56 = 72,513.56 : x
  2. Step 2: Convert to fraction form
    47,900.63/72,513.56 = 72,513.56/x
  3. Step 3: Cross multiply
    47,900.63x = 72,513.56 × 72,513.56
  4. Step 4: Simplify right side
    47,900.63x = 5,258,216,746.44
  5. Step 5: Solve for x
    x = 5,258,216,746.44/47,900.63
  6. Step 6: Final answer
    x = 109,773.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.