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Finding the Third Proportional to 10,612.13 and 19,699.88

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Solution

The third proportional to 10,612.13 and 19,699.88 is: 36,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.13 : 19,699.88 = 19,699.88 : x
  2. Step 2: Convert to fraction form
    10,612.13/19,699.88 = 19,699.88/x
  3. Step 3: Cross multiply
    10,612.13x = 19,699.88 × 19,699.88
  4. Step 4: Simplify right side
    10,612.13x = 388,085,075.02
  5. Step 5: Solve for x
    x = 388,085,075.02/10,612.13
  6. Step 6: Final answer
    x = 36,569.97

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.