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Finding the Third Proportional to 10,536.19 and 15,798.94

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Solution

The third proportional to 10,536.19 and 15,798.94 is: 23,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.19 : 15,798.94 = 15,798.94 : x
  2. Step 2: Convert to fraction form
    10,536.19/15,798.94 = 15,798.94/x
  3. Step 3: Cross multiply
    10,536.19x = 15,798.94 × 15,798.94
  4. Step 4: Simplify right side
    10,536.19x = 249,606,426.13
  5. Step 5: Solve for x
    x = 249,606,426.13/10,536.19
  6. Step 6: Final answer
    x = 23,690.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.