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Finding the Third Proportional to 7,254 and 10,620

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Solution

The third proportional to 7,254 and 10,620 is: 15,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254 : 10,620 = 10,620 : x
  2. Step 2: Convert to fraction form
    7,254/10,620 = 10,620/x
  3. Step 3: Cross multiply
    7,254x = 10,620 × 10,620
  4. Step 4: Simplify right side
    7,254x = 112,784,400
  5. Step 5: Solve for x
    x = 112,784,400/7,254
  6. Step 6: Final answer
    x = 15,547.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.