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Finding the Third Proportional to 7,543.13 and 10,897.88

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Solution

The third proportional to 7,543.13 and 10,897.88 is: 15,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.13 : 10,897.88 = 10,897.88 : x
  2. Step 2: Convert to fraction form
    7,543.13/10,897.88 = 10,897.88/x
  3. Step 3: Cross multiply
    7,543.13x = 10,897.88 × 10,897.88
  4. Step 4: Simplify right side
    7,543.13x = 118,763,679.52
  5. Step 5: Solve for x
    x = 118,763,679.52/7,543.13
  6. Step 6: Final answer
    x = 15,744.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.