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Finding the Third Proportional to 29,562.75 and 42,498.56

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Solution

The third proportional to 29,562.75 and 42,498.56 is: 61,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,562.75 : 42,498.56 = 42,498.56 : x
  2. Step 2: Convert to fraction form
    29,562.75/42,498.56 = 42,498.56/x
  3. Step 3: Cross multiply
    29,562.75x = 42,498.56 × 42,498.56
  4. Step 4: Simplify right side
    29,562.75x = 1,806,127,814.57
  5. Step 5: Solve for x
    x = 1,806,127,814.57/29,562.75
  6. Step 6: Final answer
    x = 61,094.72

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.