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Finding the Third Proportional to 1,062.65 and 1,652.35

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Solution

The third proportional to 1,062.65 and 1,652.35 is: 2,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.65 : 1,652.35 = 1,652.35 : x
  2. Step 2: Convert to fraction form
    1,062.65/1,652.35 = 1,652.35/x
  3. Step 3: Cross multiply
    1,062.65x = 1,652.35 × 1,652.35
  4. Step 4: Simplify right side
    1,062.65x = 2,730,268.91
  5. Step 5: Solve for x
    x = 2,730,268.91/1,062.65
  6. Step 6: Final answer
    x = 2,569.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.