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Finding the Third Proportional to 19,477.13 and 30,506.63

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Solution

The third proportional to 19,477.13 and 30,506.63 is: 47,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.13 : 30,506.63 = 30,506.63 : x
  2. Step 2: Convert to fraction form
    19,477.13/30,506.63 = 30,506.63/x
  3. Step 3: Cross multiply
    19,477.13x = 30,506.63 × 30,506.63
  4. Step 4: Simplify right side
    19,477.13x = 930,654,168.89
  5. Step 5: Solve for x
    x = 930,654,168.89/19,477.13
  6. Step 6: Final answer
    x = 47,781.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.