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Finding the Third Proportional to 13,609.69 and 21,386.63

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Solution

The third proportional to 13,609.69 and 21,386.63 is: 33,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.69 : 21,386.63 = 21,386.63 : x
  2. Step 2: Convert to fraction form
    13,609.69/21,386.63 = 21,386.63/x
  3. Step 3: Cross multiply
    13,609.69x = 21,386.63 × 21,386.63
  4. Step 4: Simplify right side
    13,609.69x = 457,387,728.89
  5. Step 5: Solve for x
    x = 457,387,728.89/13,609.69
  6. Step 6: Final answer
    x = 33,607.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.