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Finding the Third Proportional to 7,710.63 and 16,590.63

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Solution

The third proportional to 7,710.63 and 16,590.63 is: 35,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.63 : 16,590.63 = 16,590.63 : x
  2. Step 2: Convert to fraction form
    7,710.63/16,590.63 = 16,590.63/x
  3. Step 3: Cross multiply
    7,710.63x = 16,590.63 × 16,590.63
  4. Step 4: Simplify right side
    7,710.63x = 275,248,837.89
  5. Step 5: Solve for x
    x = 275,248,837.89/7,710.63
  6. Step 6: Final answer
    x = 35,697.34

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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.