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Finding the Third Proportional to 42,576.50 and 64,454

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Solution

The third proportional to 42,576.50 and 64,454 is: 97,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,576.50 : 64,454 = 64,454 : x
  2. Step 2: Convert to fraction form
    42,576.50/64,454 = 64,454/x
  3. Step 3: Cross multiply
    42,576.50x = 64,454 × 64,454
  4. Step 4: Simplify right side
    42,576.50x = 4,154,318,116
  5. Step 5: Solve for x
    x = 4,154,318,116/42,576.50
  6. Step 6: Final answer
    x = 97,573.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.