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Finding the Third Proportional to 32,988 and 51,101

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Solution

The third proportional to 32,988 and 51,101 is: 79,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 51,101 = 51,101 : x
  2. Step 2: Convert to fraction form
    32,988/51,101 = 51,101/x
  3. Step 3: Cross multiply
    32,988x = 51,101 × 51,101
  4. Step 4: Simplify right side
    32,988x = 2,611,312,201
  5. Step 5: Solve for x
    x = 2,611,312,201/32,988
  6. Step 6: Final answer
    x = 79,159.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.