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Finding the Third Proportional to 7,526.25 and 10,054.13

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Solution

The third proportional to 7,526.25 and 10,054.13 is: 13,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526.25 : 10,054.13 = 10,054.13 : x
  2. Step 2: Convert to fraction form
    7,526.25/10,054.13 = 10,054.13/x
  3. Step 3: Cross multiply
    7,526.25x = 10,054.13 × 10,054.13
  4. Step 4: Simplify right side
    7,526.25x = 101,085,429.52
  5. Step 5: Solve for x
    x = 101,085,429.52/7,526.25
  6. Step 6: Final answer
    x = 13,431.05

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.