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Finding the Third Proportional to 30,601.50 and 64,877

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Solution

The third proportional to 30,601.50 and 64,877 is: 137,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.50 : 64,877 = 64,877 : x
  2. Step 2: Convert to fraction form
    30,601.50/64,877 = 64,877/x
  3. Step 3: Cross multiply
    30,601.50x = 64,877 × 64,877
  4. Step 4: Simplify right side
    30,601.50x = 4,209,025,129
  5. Step 5: Solve for x
    x = 4,209,025,129/30,601.50
  6. Step 6: Final answer
    x = 137,543.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.