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Finding the Third Proportional to 1,064.39 and 1,564.95

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Solution

The third proportional to 1,064.39 and 1,564.95 is: 2,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.39 : 1,564.95 = 1,564.95 : x
  2. Step 2: Convert to fraction form
    1,064.39/1,564.95 = 1,564.95/x
  3. Step 3: Cross multiply
    1,064.39x = 1,564.95 × 1,564.95
  4. Step 4: Simplify right side
    1,064.39x = 2,449,053.83
  5. Step 5: Solve for x
    x = 2,449,053.83/1,064.39
  6. Step 6: Final answer
    x = 2,300.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.