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Finding the Third Proportional to 30,044.25 and 46,710

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Solution

The third proportional to 30,044.25 and 46,710 is: 72,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,044.25 : 46,710 = 46,710 : x
  2. Step 2: Convert to fraction form
    30,044.25/46,710 = 46,710/x
  3. Step 3: Cross multiply
    30,044.25x = 46,710 × 46,710
  4. Step 4: Simplify right side
    30,044.25x = 2,181,824,100
  5. Step 5: Solve for x
    x = 2,181,824,100/30,044.25
  6. Step 6: Final answer
    x = 72,620.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.