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Finding the Third Proportional to 29,336 and 45,948

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Solution

The third proportional to 29,336 and 45,948 is: 71,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,336 : 45,948 = 45,948 : x
  2. Step 2: Convert to fraction form
    29,336/45,948 = 45,948/x
  3. Step 3: Cross multiply
    29,336x = 45,948 × 45,948
  4. Step 4: Simplify right side
    29,336x = 2,111,218,704
  5. Step 5: Solve for x
    x = 2,111,218,704/29,336
  6. Step 6: Final answer
    x = 71,966.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.