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Finding the Third Proportional to 30,973 and 45,730

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Solution

The third proportional to 30,973 and 45,730 is: 67,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973 : 45,730 = 45,730 : x
  2. Step 2: Convert to fraction form
    30,973/45,730 = 45,730/x
  3. Step 3: Cross multiply
    30,973x = 45,730 × 45,730
  4. Step 4: Simplify right side
    30,973x = 2,091,232,900
  5. Step 5: Solve for x
    x = 2,091,232,900/30,973
  6. Step 6: Final answer
    x = 67,517.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.