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Finding the Third Proportional to 12,970.13 and 28,527.19

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Solution

The third proportional to 12,970.13 and 28,527.19 is: 62,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.13 : 28,527.19 = 28,527.19 : x
  2. Step 2: Convert to fraction form
    12,970.13/28,527.19 = 28,527.19/x
  3. Step 3: Cross multiply
    12,970.13x = 28,527.19 × 28,527.19
  4. Step 4: Simplify right side
    12,970.13x = 813,800,426.66
  5. Step 5: Solve for x
    x = 813,800,426.66/12,970.13
  6. Step 6: Final answer
    x = 62,744.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.