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Finding the Third Proportional to 16,522.10 and 26,597.11

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Solution

The third proportional to 16,522.10 and 26,597.11 is: 42,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.10 : 26,597.11 = 26,597.11 : x
  2. Step 2: Convert to fraction form
    16,522.10/26,597.11 = 26,597.11/x
  3. Step 3: Cross multiply
    16,522.10x = 26,597.11 × 26,597.11
  4. Step 4: Simplify right side
    16,522.10x = 707,406,227.11
  5. Step 5: Solve for x
    x = 707,406,227.11/16,522.10
  6. Step 6: Final answer
    x = 42,815.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.