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Finding the Third Proportional to 4,931.72 and 10,657.41

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Solution

The third proportional to 4,931.72 and 10,657.41 is: 23,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.72 : 10,657.41 = 10,657.41 : x
  2. Step 2: Convert to fraction form
    4,931.72/10,657.41 = 10,657.41/x
  3. Step 3: Cross multiply
    4,931.72x = 10,657.41 × 10,657.41
  4. Step 4: Simplify right side
    4,931.72x = 113,580,307.98
  5. Step 5: Solve for x
    x = 113,580,307.98/4,931.72
  6. Step 6: Final answer
    x = 23,030.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.