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Finding the Third Proportional to 30,538.05 and 46,715.27

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Solution

The third proportional to 30,538.05 and 46,715.27 is: 71,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.05 : 46,715.27 = 46,715.27 : x
  2. Step 2: Convert to fraction form
    30,538.05/46,715.27 = 46,715.27/x
  3. Step 3: Cross multiply
    30,538.05x = 46,715.27 × 46,715.27
  4. Step 4: Simplify right side
    30,538.05x = 2,182,316,772.34
  5. Step 5: Solve for x
    x = 2,182,316,772.34/30,538.05
  6. Step 6: Final answer
    x = 71,462.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.