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Finding the Third Proportional to 978.63 and 2,038.13

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Solution

The third proportional to 978.63 and 2,038.13 is: 4,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.63 : 2,038.13 = 2,038.13 : x
  2. Step 2: Convert to fraction form
    978.63/2,038.13 = 2,038.13/x
  3. Step 3: Cross multiply
    978.63x = 2,038.13 × 2,038.13
  4. Step 4: Simplify right side
    978.63x = 4,153,953.52
  5. Step 5: Solve for x
    x = 4,153,953.52/978.63
  6. Step 6: Final answer
    x = 4,244.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.