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Finding the Third Proportional to 7,313 and 10,422.50

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Solution

The third proportional to 7,313 and 10,422.50 is: 14,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313 : 10,422.50 = 10,422.50 : x
  2. Step 2: Convert to fraction form
    7,313/10,422.50 = 10,422.50/x
  3. Step 3: Cross multiply
    7,313x = 10,422.50 × 10,422.50
  4. Step 4: Simplify right side
    7,313x = 108,628,506.25
  5. Step 5: Solve for x
    x = 108,628,506.25/7,313
  6. Step 6: Final answer
    x = 14,854.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.