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Finding the Third Proportional to 30,073 and 64,580

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Solution

The third proportional to 30,073 and 64,580 is: 138,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,073 : 64,580 = 64,580 : x
  2. Step 2: Convert to fraction form
    30,073/64,580 = 64,580/x
  3. Step 3: Cross multiply
    30,073x = 64,580 × 64,580
  4. Step 4: Simplify right side
    30,073x = 4,170,576,400
  5. Step 5: Solve for x
    x = 4,170,576,400/30,073
  6. Step 6: Final answer
    x = 138,681.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.