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Finding the Third Proportional to 32,681 and 51,933

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Solution

The third proportional to 32,681 and 51,933 is: 82,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681 : 51,933 = 51,933 : x
  2. Step 2: Convert to fraction form
    32,681/51,933 = 51,933/x
  3. Step 3: Cross multiply
    32,681x = 51,933 × 51,933
  4. Step 4: Simplify right side
    32,681x = 2,697,036,489
  5. Step 5: Solve for x
    x = 2,697,036,489/32,681
  6. Step 6: Final answer
    x = 82,526.13

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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.