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Finding the Third Proportional to 19,567.69 and 29,725.03

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Solution

The third proportional to 19,567.69 and 29,725.03 is: 45,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.69 : 29,725.03 = 29,725.03 : x
  2. Step 2: Convert to fraction form
    19,567.69/29,725.03 = 29,725.03/x
  3. Step 3: Cross multiply
    19,567.69x = 29,725.03 × 29,725.03
  4. Step 4: Simplify right side
    19,567.69x = 883,577,482.81
  5. Step 5: Solve for x
    x = 883,577,482.81/19,567.69
  6. Step 6: Final answer
    x = 45,154.93

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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.