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Finding the Third Proportional to 10,114.88 and 15,035.63

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Solution

The third proportional to 10,114.88 and 15,035.63 is: 22,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.88 : 15,035.63 = 15,035.63 : x
  2. Step 2: Convert to fraction form
    10,114.88/15,035.63 = 15,035.63/x
  3. Step 3: Cross multiply
    10,114.88x = 15,035.63 × 15,035.63
  4. Step 4: Simplify right side
    10,114.88x = 226,070,019.14
  5. Step 5: Solve for x
    x = 226,070,019.14/10,114.88
  6. Step 6: Final answer
    x = 22,350.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.