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Finding the Third Proportional to 1,055.53 and 1,160.58

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Solution

The third proportional to 1,055.53 and 1,160.58 is: 1,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.53 : 1,160.58 = 1,160.58 : x
  2. Step 2: Convert to fraction form
    1,055.53/1,160.58 = 1,160.58/x
  3. Step 3: Cross multiply
    1,055.53x = 1,160.58 × 1,160.58
  4. Step 4: Simplify right side
    1,055.53x = 1,346,941.58
  5. Step 5: Solve for x
    x = 1,346,941.58/1,055.53
  6. Step 6: Final answer
    x = 1,276.08

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.