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Finding the Third Proportional to 15,964 and 37,733

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Solution

The third proportional to 15,964 and 37,733 is: 89,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964 : 37,733 = 37,733 : x
  2. Step 2: Convert to fraction form
    15,964/37,733 = 37,733/x
  3. Step 3: Cross multiply
    15,964x = 37,733 × 37,733
  4. Step 4: Simplify right side
    15,964x = 1,423,779,289
  5. Step 5: Solve for x
    x = 1,423,779,289/15,964
  6. Step 6: Final answer
    x = 89,186.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.