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Finding the Third Proportional to 530.93 and 1,069.45

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Solution

The third proportional to 530.93 and 1,069.45 is: 2,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.93 : 1,069.45 = 1,069.45 : x
  2. Step 2: Convert to fraction form
    530.93/1,069.45 = 1,069.45/x
  3. Step 3: Cross multiply
    530.93x = 1,069.45 × 1,069.45
  4. Step 4: Simplify right side
    530.93x = 1,143,729.99
  5. Step 5: Solve for x
    x = 1,143,729.99/530.93
  6. Step 6: Final answer
    x = 2,154.20

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.