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Finding the Third Proportional to 7,641.84 and 19,445.06

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Solution

The third proportional to 7,641.84 and 19,445.06 is: 49,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.84 : 19,445.06 = 19,445.06 : x
  2. Step 2: Convert to fraction form
    7,641.84/19,445.06 = 19,445.06/x
  3. Step 3: Cross multiply
    7,641.84x = 19,445.06 × 19,445.06
  4. Step 4: Simplify right side
    7,641.84x = 378,110,455.63
  5. Step 5: Solve for x
    x = 378,110,455.63/7,641.84
  6. Step 6: Final answer
    x = 49,478.96

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.