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Finding the Third Proportional to 10,492.88 and 22,677.75

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Solution

The third proportional to 10,492.88 and 22,677.75 is: 49,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.88 : 22,677.75 = 22,677.75 : x
  2. Step 2: Convert to fraction form
    10,492.88/22,677.75 = 22,677.75/x
  3. Step 3: Cross multiply
    10,492.88x = 22,677.75 × 22,677.75
  4. Step 4: Simplify right side
    10,492.88x = 514,280,345.06
  5. Step 5: Solve for x
    x = 514,280,345.06/10,492.88
  6. Step 6: Final answer
    x = 49,012.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.