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Finding the Third Proportional to 40,528.97 and 64,745.93

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Solution

The third proportional to 40,528.97 and 64,745.93 is: 103,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,528.97 : 64,745.93 = 64,745.93 : x
  2. Step 2: Convert to fraction form
    40,528.97/64,745.93 = 64,745.93/x
  3. Step 3: Cross multiply
    40,528.97x = 64,745.93 × 64,745.93
  4. Step 4: Simplify right side
    40,528.97x = 4,192,035,411.10
  5. Step 5: Solve for x
    x = 4,192,035,411.10/40,528.97
  6. Step 6: Final answer
    x = 103,433.06

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Why These Related Problems?

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