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Finding the Third Proportional to 29,205.56 and 42,530.06

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Solution

The third proportional to 29,205.56 and 42,530.06 is: 61,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,205.56 : 42,530.06 = 42,530.06 : x
  2. Step 2: Convert to fraction form
    29,205.56/42,530.06 = 42,530.06/x
  3. Step 3: Cross multiply
    29,205.56x = 42,530.06 × 42,530.06
  4. Step 4: Simplify right side
    29,205.56x = 1,808,806,216.25
  5. Step 5: Solve for x
    x = 1,808,806,216.25/29,205.56
  6. Step 6: Final answer
    x = 61,933.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.