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Finding the Third Proportional to 1,585.83 and 2,416.08

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Solution

The third proportional to 1,585.83 and 2,416.08 is: 3,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.83 : 2,416.08 = 2,416.08 : x
  2. Step 2: Convert to fraction form
    1,585.83/2,416.08 = 2,416.08/x
  3. Step 3: Cross multiply
    1,585.83x = 2,416.08 × 2,416.08
  4. Step 4: Simplify right side
    1,585.83x = 5,837,433.51
  5. Step 5: Solve for x
    x = 5,837,433.51/1,585.83
  6. Step 6: Final answer
    x = 3,681.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.