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Finding the Third Proportional to 12,700.13 and 19,303.31

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Solution

The third proportional to 12,700.13 and 19,303.31 is: 29,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.13 : 19,303.31 = 19,303.31 : x
  2. Step 2: Convert to fraction form
    12,700.13/19,303.31 = 19,303.31/x
  3. Step 3: Cross multiply
    12,700.13x = 19,303.31 × 19,303.31
  4. Step 4: Simplify right side
    12,700.13x = 372,617,873.47
  5. Step 5: Solve for x
    x = 372,617,873.47/12,700.13
  6. Step 6: Final answer
    x = 29,339.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.