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Finding the Third Proportional to 30,256.88 and 42,319.13

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Solution

The third proportional to 30,256.88 and 42,319.13 is: 59,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.88 : 42,319.13 = 42,319.13 : x
  2. Step 2: Convert to fraction form
    30,256.88/42,319.13 = 42,319.13/x
  3. Step 3: Cross multiply
    30,256.88x = 42,319.13 × 42,319.13
  4. Step 4: Simplify right side
    30,256.88x = 1,790,908,340.77
  5. Step 5: Solve for x
    x = 1,790,908,340.77/30,256.88
  6. Step 6: Final answer
    x = 59,190.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.