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Finding the Third Proportional to 7,461 and 13,254.75

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Solution

The third proportional to 7,461 and 13,254.75 is: 23,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 13,254.75 = 13,254.75 : x
  2. Step 2: Convert to fraction form
    7,461/13,254.75 = 13,254.75/x
  3. Step 3: Cross multiply
    7,461x = 13,254.75 × 13,254.75
  4. Step 4: Simplify right side
    7,461x = 175,688,397.56
  5. Step 5: Solve for x
    x = 175,688,397.56/7,461
  6. Step 6: Final answer
    x = 23,547.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.