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Finding the Third Proportional to 19,347.19 and 39,315.38

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Solution

The third proportional to 19,347.19 and 39,315.38 is: 79,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347.19 : 39,315.38 = 39,315.38 : x
  2. Step 2: Convert to fraction form
    19,347.19/39,315.38 = 39,315.38/x
  3. Step 3: Cross multiply
    19,347.19x = 39,315.38 × 39,315.38
  4. Step 4: Simplify right side
    19,347.19x = 1,545,698,711.39
  5. Step 5: Solve for x
    x = 1,545,698,711.39/19,347.19
  6. Step 6: Final answer
    x = 79,892.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.