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Finding the Third Proportional to 40,544.93 and 64,564.91

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Solution

The third proportional to 40,544.93 and 64,564.91 is: 102,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,544.93 : 64,564.91 = 64,564.91 : x
  2. Step 2: Convert to fraction form
    40,544.93/64,564.91 = 64,564.91/x
  3. Step 3: Cross multiply
    40,544.93x = 64,564.91 × 64,564.91
  4. Step 4: Simplify right side
    40,544.93x = 4,168,627,623.48
  5. Step 5: Solve for x
    x = 4,168,627,623.48/40,544.93
  6. Step 6: Final answer
    x = 102,815.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.