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Finding the Third Proportional to 29,538.42 and 64,816.45

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Solution

The third proportional to 29,538.42 and 64,816.45 is: 142,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.42 : 64,816.45 = 64,816.45 : x
  2. Step 2: Convert to fraction form
    29,538.42/64,816.45 = 64,816.45/x
  3. Step 3: Cross multiply
    29,538.42x = 64,816.45 × 64,816.45
  4. Step 4: Simplify right side
    29,538.42x = 4,201,172,595.71
  5. Step 5: Solve for x
    x = 4,201,172,595.71/29,538.42
  6. Step 6: Final answer
    x = 142,227.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.