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Finding the Third Proportional to 10,547.25 and 15,791.63

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Solution

The third proportional to 10,547.25 and 15,791.63 is: 23,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.25 : 15,791.63 = 15,791.63 : x
  2. Step 2: Convert to fraction form
    10,547.25/15,791.63 = 15,791.63/x
  3. Step 3: Cross multiply
    10,547.25x = 15,791.63 × 15,791.63
  4. Step 4: Simplify right side
    10,547.25x = 249,375,420.14
  5. Step 5: Solve for x
    x = 249,375,420.14/10,547.25
  6. Step 6: Final answer
    x = 23,643.64

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Why These Related Problems?

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