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Finding the Third Proportional to 32,886 and 53,430

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Solution

The third proportional to 32,886 and 53,430 is: 86,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886 : 53,430 = 53,430 : x
  2. Step 2: Convert to fraction form
    32,886/53,430 = 53,430/x
  3. Step 3: Cross multiply
    32,886x = 53,430 × 53,430
  4. Step 4: Simplify right side
    32,886x = 2,854,764,900
  5. Step 5: Solve for x
    x = 2,854,764,900/32,886
  6. Step 6: Final answer
    x = 86,807.91

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.