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Finding the Third Proportional to 1,130.63 and 1,731.94

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Solution

The third proportional to 1,130.63 and 1,731.94 is: 2,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.63 : 1,731.94 = 1,731.94 : x
  2. Step 2: Convert to fraction form
    1,130.63/1,731.94 = 1,731.94/x
  3. Step 3: Cross multiply
    1,130.63x = 1,731.94 × 1,731.94
  4. Step 4: Simplify right side
    1,130.63x = 2,999,607.50
  5. Step 5: Solve for x
    x = 2,999,607.50/1,130.63
  6. Step 6: Final answer
    x = 2,653.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.