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Finding the Third Proportional to 7,075.13 and 10,219.88

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Solution

The third proportional to 7,075.13 and 10,219.88 is: 14,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.13 : 10,219.88 = 10,219.88 : x
  2. Step 2: Convert to fraction form
    7,075.13/10,219.88 = 10,219.88/x
  3. Step 3: Cross multiply
    7,075.13x = 10,219.88 × 10,219.88
  4. Step 4: Simplify right side
    7,075.13x = 104,445,845.02
  5. Step 5: Solve for x
    x = 104,445,845.02/7,075.13
  6. Step 6: Final answer
    x = 14,762.40

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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.