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Finding the Third Proportional to 1,402.13 and 3,050.63

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Solution

The third proportional to 1,402.13 and 3,050.63 is: 6,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.13 : 3,050.63 = 3,050.63 : x
  2. Step 2: Convert to fraction form
    1,402.13/3,050.63 = 3,050.63/x
  3. Step 3: Cross multiply
    1,402.13x = 3,050.63 × 3,050.63
  4. Step 4: Simplify right side
    1,402.13x = 9,306,312.89
  5. Step 5: Solve for x
    x = 9,306,312.89/1,402.13
  6. Step 6: Final answer
    x = 6,637.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.