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Finding the Third Proportional to 30,073.13 and 42,043.88

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Solution

The third proportional to 30,073.13 and 42,043.88 is: 58,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,073.13 : 42,043.88 = 42,043.88 : x
  2. Step 2: Convert to fraction form
    30,073.13/42,043.88 = 42,043.88/x
  3. Step 3: Cross multiply
    30,073.13x = 42,043.88 × 42,043.88
  4. Step 4: Simplify right side
    30,073.13x = 1,767,687,425.02
  5. Step 5: Solve for x
    x = 1,767,687,425.02/30,073.13
  6. Step 6: Final answer
    x = 58,779.64

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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.