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Finding the Third Proportional to 7,580 and 13,480

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Solution

The third proportional to 7,580 and 13,480 is: 23,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580 : 13,480 = 13,480 : x
  2. Step 2: Convert to fraction form
    7,580/13,480 = 13,480/x
  3. Step 3: Cross multiply
    7,580x = 13,480 × 13,480
  4. Step 4: Simplify right side
    7,580x = 181,710,400
  5. Step 5: Solve for x
    x = 181,710,400/7,580
  6. Step 6: Final answer
    x = 23,972.35

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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.