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Finding the Third Proportional to 19,715.06 and 30,577.50

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Solution

The third proportional to 19,715.06 and 30,577.50 is: 47,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.06 : 30,577.50 = 30,577.50 : x
  2. Step 2: Convert to fraction form
    19,715.06/30,577.50 = 30,577.50/x
  3. Step 3: Cross multiply
    19,715.06x = 30,577.50 × 30,577.50
  4. Step 4: Simplify right side
    19,715.06x = 934,983,506.25
  5. Step 5: Solve for x
    x = 934,983,506.25/19,715.06
  6. Step 6: Final answer
    x = 47,424.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.