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Finding the Third Proportional to 9,417 and 14,908.50

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Solution

The third proportional to 9,417 and 14,908.50 is: 23,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417 : 14,908.50 = 14,908.50 : x
  2. Step 2: Convert to fraction form
    9,417/14,908.50 = 14,908.50/x
  3. Step 3: Cross multiply
    9,417x = 14,908.50 × 14,908.50
  4. Step 4: Simplify right side
    9,417x = 222,263,372.25
  5. Step 5: Solve for x
    x = 222,263,372.25/9,417
  6. Step 6: Final answer
    x = 23,602.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.