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Finding the Third Proportional to 32,969 and 53,706

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Solution

The third proportional to 32,969 and 53,706 is: 87,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 53,706 = 53,706 : x
  2. Step 2: Convert to fraction form
    32,969/53,706 = 53,706/x
  3. Step 3: Cross multiply
    32,969x = 53,706 × 53,706
  4. Step 4: Simplify right side
    32,969x = 2,884,334,436
  5. Step 5: Solve for x
    x = 2,884,334,436/32,969
  6. Step 6: Final answer
    x = 87,486.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.