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Finding the Third Proportional to 7,075.27 and 15,303.94

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Solution

The third proportional to 7,075.27 and 15,303.94 is: 33,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.27 : 15,303.94 = 15,303.94 : x
  2. Step 2: Convert to fraction form
    7,075.27/15,303.94 = 15,303.94/x
  3. Step 3: Cross multiply
    7,075.27x = 15,303.94 × 15,303.94
  4. Step 4: Simplify right side
    7,075.27x = 234,210,503.00
  5. Step 5: Solve for x
    x = 234,210,503.00/7,075.27
  6. Step 6: Final answer
    x = 33,102.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.