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Finding the Third Proportional to 9,088.88 and 19,564.88

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Solution

The third proportional to 9,088.88 and 19,564.88 is: 42,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.88 : 19,564.88 = 19,564.88 : x
  2. Step 2: Convert to fraction form
    9,088.88/19,564.88 = 19,564.88/x
  3. Step 3: Cross multiply
    9,088.88x = 19,564.88 × 19,564.88
  4. Step 4: Simplify right side
    9,088.88x = 382,784,333.77
  5. Step 5: Solve for x
    x = 382,784,333.77/9,088.88
  6. Step 6: Final answer
    x = 42,115.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.