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Finding the Third Proportional to 30,762 and 43,988.63

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Solution

The third proportional to 30,762 and 43,988.63 is: 62,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762 : 43,988.63 = 43,988.63 : x
  2. Step 2: Convert to fraction form
    30,762/43,988.63 = 43,988.63/x
  3. Step 3: Cross multiply
    30,762x = 43,988.63 × 43,988.63
  4. Step 4: Simplify right side
    30,762x = 1,934,999,129.39
  5. Step 5: Solve for x
    x = 1,934,999,129.39/30,762
  6. Step 6: Final answer
    x = 62,902.25

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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.