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Finding the Third Proportional to 30,065 and 64,948

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Solution

The third proportional to 30,065 and 64,948 is: 140,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,065 : 64,948 = 64,948 : x
  2. Step 2: Convert to fraction form
    30,065/64,948 = 64,948/x
  3. Step 3: Cross multiply
    30,065x = 64,948 × 64,948
  4. Step 4: Simplify right side
    30,065x = 4,218,242,704
  5. Step 5: Solve for x
    x = 4,218,242,704/30,065
  6. Step 6: Final answer
    x = 140,304.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.