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Finding the Third Proportional to 7,115.63 and 15,566.06

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Solution

The third proportional to 7,115.63 and 15,566.06 is: 34,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.63 : 15,566.06 = 15,566.06 : x
  2. Step 2: Convert to fraction form
    7,115.63/15,566.06 = 15,566.06/x
  3. Step 3: Cross multiply
    7,115.63x = 15,566.06 × 15,566.06
  4. Step 4: Simplify right side
    7,115.63x = 242,302,301.75
  5. Step 5: Solve for x
    x = 242,302,301.75/7,115.63
  6. Step 6: Final answer
    x = 34,052.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.