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Finding the Third Proportional to 35,574.19 and 53,267.63

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Solution

The third proportional to 35,574.19 and 53,267.63 is: 79,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.19 : 53,267.63 = 53,267.63 : x
  2. Step 2: Convert to fraction form
    35,574.19/53,267.63 = 53,267.63/x
  3. Step 3: Cross multiply
    35,574.19x = 53,267.63 × 53,267.63
  4. Step 4: Simplify right side
    35,574.19x = 2,837,439,873.14
  5. Step 5: Solve for x
    x = 2,837,439,873.14/35,574.19
  6. Step 6: Final answer
    x = 79,761.20

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Why These Related Problems?

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