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Finding the Third Proportional to 10,509.75 and 15,803.44

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Solution

The third proportional to 10,509.75 and 15,803.44 is: 23,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.75 : 15,803.44 = 15,803.44 : x
  2. Step 2: Convert to fraction form
    10,509.75/15,803.44 = 15,803.44/x
  3. Step 3: Cross multiply
    10,509.75x = 15,803.44 × 15,803.44
  4. Step 4: Simplify right side
    10,509.75x = 249,748,636.82
  5. Step 5: Solve for x
    x = 249,748,636.82/10,509.75
  6. Step 6: Final answer
    x = 23,763.52

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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.