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Finding the Third Proportional to 931.50 and 1,482.68

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Solution

The third proportional to 931.50 and 1,482.68 is: 2,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.50 : 1,482.68 = 1,482.68 : x
  2. Step 2: Convert to fraction form
    931.50/1,482.68 = 1,482.68/x
  3. Step 3: Cross multiply
    931.50x = 1,482.68 × 1,482.68
  4. Step 4: Simplify right side
    931.50x = 2,198,339.06
  5. Step 5: Solve for x
    x = 2,198,339.06/931.50
  6. Step 6: Final answer
    x = 2,360.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.