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Finding the Third Proportional to 42,651.75 and 64,564.88

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Solution

The third proportional to 42,651.75 and 64,564.88 is: 97,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,651.75 : 64,564.88 = 64,564.88 : x
  2. Step 2: Convert to fraction form
    42,651.75/64,564.88 = 64,564.88/x
  3. Step 3: Cross multiply
    42,651.75x = 64,564.88 × 64,564.88
  4. Step 4: Simplify right side
    42,651.75x = 4,168,623,083.77
  5. Step 5: Solve for x
    x = 4,168,623,083.77/42,651.75
  6. Step 6: Final answer
    x = 97,736.27

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Why These Related Problems?

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