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Finding the Third Proportional to 43,877 and 62,700.50

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Solution

The third proportional to 43,877 and 62,700.50 is: 89,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,877 : 62,700.50 = 62,700.50 : x
  2. Step 2: Convert to fraction form
    43,877/62,700.50 = 62,700.50/x
  3. Step 3: Cross multiply
    43,877x = 62,700.50 × 62,700.50
  4. Step 4: Simplify right side
    43,877x = 3,931,352,700.25
  5. Step 5: Solve for x
    x = 3,931,352,700.25/43,877
  6. Step 6: Final answer
    x = 89,599.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.