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Finding the Third Proportional to 15,800.70 and 33,547.29

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Solution

The third proportional to 15,800.70 and 33,547.29 is: 71,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.70 : 33,547.29 = 33,547.29 : x
  2. Step 2: Convert to fraction form
    15,800.70/33,547.29 = 33,547.29/x
  3. Step 3: Cross multiply
    15,800.70x = 33,547.29 × 33,547.29
  4. Step 4: Simplify right side
    15,800.70x = 1,125,420,603.44
  5. Step 5: Solve for x
    x = 1,125,420,603.44/15,800.70
  6. Step 6: Final answer
    x = 71,226.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.