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Finding the Third Proportional to 12,492.50 and 26,603.38

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Solution

The third proportional to 12,492.50 and 26,603.38 is: 56,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.50 : 26,603.38 = 26,603.38 : x
  2. Step 2: Convert to fraction form
    12,492.50/26,603.38 = 26,603.38/x
  3. Step 3: Cross multiply
    12,492.50x = 26,603.38 × 26,603.38
  4. Step 4: Simplify right side
    12,492.50x = 707,739,561.39
  5. Step 5: Solve for x
    x = 707,739,561.39/12,492.50
  6. Step 6: Final answer
    x = 56,653.16

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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.