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Finding the Third Proportional to 22,953 and 35,468.50

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Solution

The third proportional to 22,953 and 35,468.50 is: 54,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953 : 35,468.50 = 35,468.50 : x
  2. Step 2: Convert to fraction form
    22,953/35,468.50 = 35,468.50/x
  3. Step 3: Cross multiply
    22,953x = 35,468.50 × 35,468.50
  4. Step 4: Simplify right side
    22,953x = 1,258,014,492.25
  5. Step 5: Solve for x
    x = 1,258,014,492.25/22,953
  6. Step 6: Final answer
    x = 54,808.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.