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Finding the Third Proportional to 32,984 and 53,184

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Solution

The third proportional to 32,984 and 53,184 is: 85,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984 : 53,184 = 53,184 : x
  2. Step 2: Convert to fraction form
    32,984/53,184 = 53,184/x
  3. Step 3: Cross multiply
    32,984x = 53,184 × 53,184
  4. Step 4: Simplify right side
    32,984x = 2,828,537,856
  5. Step 5: Solve for x
    x = 2,828,537,856/32,984
  6. Step 6: Final answer
    x = 85,754.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.