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Finding the Third Proportional to 30,003.75 and 42,877.69

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Solution

The third proportional to 30,003.75 and 42,877.69 is: 61,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,003.75 : 42,877.69 = 42,877.69 : x
  2. Step 2: Convert to fraction form
    30,003.75/42,877.69 = 42,877.69/x
  3. Step 3: Cross multiply
    30,003.75x = 42,877.69 × 42,877.69
  4. Step 4: Simplify right side
    30,003.75x = 1,838,496,085.35
  5. Step 5: Solve for x
    x = 1,838,496,085.35/30,003.75
  6. Step 6: Final answer
    x = 61,275.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.