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Finding the Third Proportional to 541.05 and 1,159.00

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Solution

The third proportional to 541.05 and 1,159.00 is: 2,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.05 : 1,159.00 = 1,159.00 : x
  2. Step 2: Convert to fraction form
    541.05/1,159.00 = 1,159.00/x
  3. Step 3: Cross multiply
    541.05x = 1,159.00 × 1,159.00
  4. Step 4: Simplify right side
    541.05x = 1,343,271.95
  5. Step 5: Solve for x
    x = 1,343,271.95/541.05
  6. Step 6: Final answer
    x = 2,482.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.