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Finding the Third Proportional to 7,539.75 and 10,603.13

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Solution

The third proportional to 7,539.75 and 10,603.13 is: 14,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.75 : 10,603.13 = 10,603.13 : x
  2. Step 2: Convert to fraction form
    7,539.75/10,603.13 = 10,603.13/x
  3. Step 3: Cross multiply
    7,539.75x = 10,603.13 × 10,603.13
  4. Step 4: Simplify right side
    7,539.75x = 112,426,259.77
  5. Step 5: Solve for x
    x = 112,426,259.77/7,539.75
  6. Step 6: Final answer
    x = 14,911.14

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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.