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Finding the Third Proportional to 32,838 and 52,281

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Solution

The third proportional to 32,838 and 52,281 is: 83,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838 : 52,281 = 52,281 : x
  2. Step 2: Convert to fraction form
    32,838/52,281 = 52,281/x
  3. Step 3: Cross multiply
    32,838x = 52,281 × 52,281
  4. Step 4: Simplify right side
    32,838x = 2,733,302,961
  5. Step 5: Solve for x
    x = 2,733,302,961/32,838
  6. Step 6: Final answer
    x = 83,235.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.