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Finding the Third Proportional to 12,970.13 and 28,288.13

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Solution

The third proportional to 12,970.13 and 28,288.13 is: 61,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.13 : 28,288.13 = 28,288.13 : x
  2. Step 2: Convert to fraction form
    12,970.13/28,288.13 = 28,288.13/x
  3. Step 3: Cross multiply
    12,970.13x = 28,288.13 × 28,288.13
  4. Step 4: Simplify right side
    12,970.13x = 800,218,016.02
  5. Step 5: Solve for x
    x = 800,218,016.02/12,970.13
  6. Step 6: Final answer
    x = 61,697.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.