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Finding the Third Proportional to 1,051.52 and 1,556.93

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Solution

The third proportional to 1,051.52 and 1,556.93 is: 2,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.52 : 1,556.93 = 1,556.93 : x
  2. Step 2: Convert to fraction form
    1,051.52/1,556.93 = 1,556.93/x
  3. Step 3: Cross multiply
    1,051.52x = 1,556.93 × 1,556.93
  4. Step 4: Simplify right side
    1,051.52x = 2,424,030.05
  5. Step 5: Solve for x
    x = 2,424,030.05/1,051.52
  6. Step 6: Final answer
    x = 2,305.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.