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Finding the Third Proportional to 9,651 and 22,417.50

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Solution

The third proportional to 9,651 and 22,417.50 is: 52,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651 : 22,417.50 = 22,417.50 : x
  2. Step 2: Convert to fraction form
    9,651/22,417.50 = 22,417.50/x
  3. Step 3: Cross multiply
    9,651x = 22,417.50 × 22,417.50
  4. Step 4: Simplify right side
    9,651x = 502,544,306.25
  5. Step 5: Solve for x
    x = 502,544,306.25/9,651
  6. Step 6: Final answer
    x = 52,071.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.