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Finding the Third Proportional to 10,015.59 and 15,569.72

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Solution

The third proportional to 10,015.59 and 15,569.72 is: 24,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.59 : 15,569.72 = 15,569.72 : x
  2. Step 2: Convert to fraction form
    10,015.59/15,569.72 = 15,569.72/x
  3. Step 3: Cross multiply
    10,015.59x = 15,569.72 × 15,569.72
  4. Step 4: Simplify right side
    10,015.59x = 242,416,141.95
  5. Step 5: Solve for x
    x = 242,416,141.95/10,015.59
  6. Step 6: Final answer
    x = 24,203.87

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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.