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Finding the Third Proportional to 7,037.16 and 9,897.47

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Solution

The third proportional to 7,037.16 and 9,897.47 is: 13,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.16 : 9,897.47 = 9,897.47 : x
  2. Step 2: Convert to fraction form
    7,037.16/9,897.47 = 9,897.47/x
  3. Step 3: Cross multiply
    7,037.16x = 9,897.47 × 9,897.47
  4. Step 4: Simplify right side
    7,037.16x = 97,959,887.66
  5. Step 5: Solve for x
    x = 97,959,887.66/7,037.16
  6. Step 6: Final answer
    x = 13,920.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.