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Finding the Third Proportional to 24,215.63 and 37,758.38

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Solution

The third proportional to 24,215.63 and 37,758.38 is: 58,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.63 : 37,758.38 = 37,758.38 : x
  2. Step 2: Convert to fraction form
    24,215.63/37,758.38 = 37,758.38/x
  3. Step 3: Cross multiply
    24,215.63x = 37,758.38 × 37,758.38
  4. Step 4: Simplify right side
    24,215.63x = 1,425,694,882.64
  5. Step 5: Solve for x
    x = 1,425,694,882.64/24,215.63
  6. Step 6: Final answer
    x = 58,875.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.