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Finding the Third Proportional to 30,641.63 and 72,448.59

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Solution

The third proportional to 30,641.63 and 72,448.59 is: 171,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.63 : 72,448.59 = 72,448.59 : x
  2. Step 2: Convert to fraction form
    30,641.63/72,448.59 = 72,448.59/x
  3. Step 3: Cross multiply
    30,641.63x = 72,448.59 × 72,448.59
  4. Step 4: Simplify right side
    30,641.63x = 5,248,798,736.35
  5. Step 5: Solve for x
    x = 5,248,798,736.35/30,641.63
  6. Step 6: Final answer
    x = 171,296.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.