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Finding the Third Proportional to 30,076 and 62,602

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Solution

The third proportional to 30,076 and 62,602 is: 130,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076 : 62,602 = 62,602 : x
  2. Step 2: Convert to fraction form
    30,076/62,602 = 62,602/x
  3. Step 3: Cross multiply
    30,076x = 62,602 × 62,602
  4. Step 4: Simplify right side
    30,076x = 3,919,010,404
  5. Step 5: Solve for x
    x = 3,919,010,404/30,076
  6. Step 6: Final answer
    x = 130,303.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.