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Finding the Third Proportional to 32,896.13 and 51,030

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Solution

The third proportional to 32,896.13 and 51,030 is: 79,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.13 : 51,030 = 51,030 : x
  2. Step 2: Convert to fraction form
    32,896.13/51,030 = 51,030/x
  3. Step 3: Cross multiply
    32,896.13x = 51,030 × 51,030
  4. Step 4: Simplify right side
    32,896.13x = 2,604,060,900
  5. Step 5: Solve for x
    x = 2,604,060,900/32,896.13
  6. Step 6: Final answer
    x = 79,160.11

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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.