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Finding the Third Proportional to 15,607.69 and 34,135.17

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Solution

The third proportional to 15,607.69 and 34,135.17 is: 74,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607.69 : 34,135.17 = 34,135.17 : x
  2. Step 2: Convert to fraction form
    15,607.69/34,135.17 = 34,135.17/x
  3. Step 3: Cross multiply
    15,607.69x = 34,135.17 × 34,135.17
  4. Step 4: Simplify right side
    15,607.69x = 1,165,209,958.94
  5. Step 5: Solve for x
    x = 1,165,209,958.94/15,607.69
  6. Step 6: Final answer
    x = 74,656.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.