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Finding the Third Proportional to 9,095.41 and 13,587.01

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Solution

The third proportional to 9,095.41 and 13,587.01 is: 20,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.41 : 13,587.01 = 13,587.01 : x
  2. Step 2: Convert to fraction form
    9,095.41/13,587.01 = 13,587.01/x
  3. Step 3: Cross multiply
    9,095.41x = 13,587.01 × 13,587.01
  4. Step 4: Simplify right side
    9,095.41x = 184,606,887.45
  5. Step 5: Solve for x
    x = 184,606,887.45/9,095.41
  6. Step 6: Final answer
    x = 20,296.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.