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Finding the Third Proportional to 1,301 and 1,952.50

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Solution

The third proportional to 1,301 and 1,952.50 is: 2,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301 : 1,952.50 = 1,952.50 : x
  2. Step 2: Convert to fraction form
    1,301/1,952.50 = 1,952.50/x
  3. Step 3: Cross multiply
    1,301x = 1,952.50 × 1,952.50
  4. Step 4: Simplify right side
    1,301x = 3,812,256.25
  5. Step 5: Solve for x
    x = 3,812,256.25/1,301
  6. Step 6: Final answer
    x = 2,930.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.