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Finding the Third Proportional to 8,764.59 and 13,597.13

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Solution

The third proportional to 8,764.59 and 13,597.13 is: 21,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.59 : 13,597.13 = 13,597.13 : x
  2. Step 2: Convert to fraction form
    8,764.59/13,597.13 = 13,597.13/x
  3. Step 3: Cross multiply
    8,764.59x = 13,597.13 × 13,597.13
  4. Step 4: Simplify right side
    8,764.59x = 184,881,808.27
  5. Step 5: Solve for x
    x = 184,881,808.27/8,764.59
  6. Step 6: Final answer
    x = 21,094.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.