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Finding the Third Proportional to 30,410 and 48,580

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Solution

The third proportional to 30,410 and 48,580 is: 77,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410 : 48,580 = 48,580 : x
  2. Step 2: Convert to fraction form
    30,410/48,580 = 48,580/x
  3. Step 3: Cross multiply
    30,410x = 48,580 × 48,580
  4. Step 4: Simplify right side
    30,410x = 2,360,016,400
  5. Step 5: Solve for x
    x = 2,360,016,400/30,410
  6. Step 6: Final answer
    x = 77,606.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.