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Finding the Third Proportional to 13,000.08 and 18,577.27

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Solution

The third proportional to 13,000.08 and 18,577.27 is: 26,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.08 : 18,577.27 = 18,577.27 : x
  2. Step 2: Convert to fraction form
    13,000.08/18,577.27 = 18,577.27/x
  3. Step 3: Cross multiply
    13,000.08x = 18,577.27 × 18,577.27
  4. Step 4: Simplify right side
    13,000.08x = 345,114,798.10
  5. Step 5: Solve for x
    x = 345,114,798.10/13,000.08
  6. Step 6: Final answer
    x = 26,547.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.