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Finding the Third Proportional to 35,063 and 47,903.50

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Solution

The third proportional to 35,063 and 47,903.50 is: 65,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,063 : 47,903.50 = 47,903.50 : x
  2. Step 2: Convert to fraction form
    35,063/47,903.50 = 47,903.50/x
  3. Step 3: Cross multiply
    35,063x = 47,903.50 × 47,903.50
  4. Step 4: Simplify right side
    35,063x = 2,294,745,312.25
  5. Step 5: Solve for x
    x = 2,294,745,312.25/35,063
  6. Step 6: Final answer
    x = 65,446.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.