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Finding the Third Proportional to 12,084.19 and 26,145.28

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Solution

The third proportional to 12,084.19 and 26,145.28 is: 56,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.19 : 26,145.28 = 26,145.28 : x
  2. Step 2: Convert to fraction form
    12,084.19/26,145.28 = 26,145.28/x
  3. Step 3: Cross multiply
    12,084.19x = 26,145.28 × 26,145.28
  4. Step 4: Simplify right side
    12,084.19x = 683,575,731.64
  5. Step 5: Solve for x
    x = 683,575,731.64/12,084.19
  6. Step 6: Final answer
    x = 56,567.79

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1.5x scale

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.