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Finding the Third Proportional to 35,695.69 and 53,434.69

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Solution

The third proportional to 35,695.69 and 53,434.69 is: 79,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.69 : 53,434.69 = 53,434.69 : x
  2. Step 2: Convert to fraction form
    35,695.69/53,434.69 = 53,434.69/x
  3. Step 3: Cross multiply
    35,695.69x = 53,434.69 × 53,434.69
  4. Step 4: Simplify right side
    35,695.69x = 2,855,265,828.22
  5. Step 5: Solve for x
    x = 2,855,265,828.22/35,695.69
  6. Step 6: Final answer
    x = 79,989.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.