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Finding the Third Proportional to 12,360.09 and 19,715.91

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Solution

The third proportional to 12,360.09 and 19,715.91 is: 31,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,360.09 : 19,715.91 = 19,715.91 : x
  2. Step 2: Convert to fraction form
    12,360.09/19,715.91 = 19,715.91/x
  3. Step 3: Cross multiply
    12,360.09x = 19,715.91 × 19,715.91
  4. Step 4: Simplify right side
    12,360.09x = 388,716,959.26
  5. Step 5: Solve for x
    x = 388,716,959.26/12,360.09
  6. Step 6: Final answer
    x = 31,449.35

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.