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Finding the Third Proportional to 32,308 and 49,646

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Solution

The third proportional to 32,308 and 49,646 is: 76,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308 : 49,646 = 49,646 : x
  2. Step 2: Convert to fraction form
    32,308/49,646 = 49,646/x
  3. Step 3: Cross multiply
    32,308x = 49,646 × 49,646
  4. Step 4: Simplify right side
    32,308x = 2,464,725,316
  5. Step 5: Solve for x
    x = 2,464,725,316/32,308
  6. Step 6: Final answer
    x = 76,288.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.