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Finding the Third Proportional to 30,397.78 and 48,562.03

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Solution

The third proportional to 30,397.78 and 48,562.03 is: 77,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.78 : 48,562.03 = 48,562.03 : x
  2. Step 2: Convert to fraction form
    30,397.78/48,562.03 = 48,562.03/x
  3. Step 3: Cross multiply
    30,397.78x = 48,562.03 × 48,562.03
  4. Step 4: Simplify right side
    30,397.78x = 2,358,270,879.13
  5. Step 5: Solve for x
    x = 2,358,270,879.13/30,397.78
  6. Step 6: Final answer
    x = 77,580.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.