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Finding the Third Proportional to 36,357.75 and 53,339.63

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Solution

The third proportional to 36,357.75 and 53,339.63 is: 78,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357.75 : 53,339.63 = 53,339.63 : x
  2. Step 2: Convert to fraction form
    36,357.75/53,339.63 = 53,339.63/x
  3. Step 3: Cross multiply
    36,357.75x = 53,339.63 × 53,339.63
  4. Step 4: Simplify right side
    36,357.75x = 2,845,115,595.14
  5. Step 5: Solve for x
    x = 2,845,115,595.14/36,357.75
  6. Step 6: Final answer
    x = 78,253.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.