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Finding the Third Proportional to 4,564.75 and 9,718.03

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Solution

The third proportional to 4,564.75 and 9,718.03 is: 20,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.75 : 9,718.03 = 9,718.03 : x
  2. Step 2: Convert to fraction form
    4,564.75/9,718.03 = 9,718.03/x
  3. Step 3: Cross multiply
    4,564.75x = 9,718.03 × 9,718.03
  4. Step 4: Simplify right side
    4,564.75x = 94,440,131.38
  5. Step 5: Solve for x
    x = 94,440,131.38/4,564.75
  6. Step 6: Final answer
    x = 20,689.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.