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Finding the Third Proportional to 970.13 and 1,436.06

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Solution

The third proportional to 970.13 and 1,436.06 is: 2,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.13 : 1,436.06 = 1,436.06 : x
  2. Step 2: Convert to fraction form
    970.13/1,436.06 = 1,436.06/x
  3. Step 3: Cross multiply
    970.13x = 1,436.06 × 1,436.06
  4. Step 4: Simplify right side
    970.13x = 2,062,275.50
  5. Step 5: Solve for x
    x = 2,062,275.50/970.13
  6. Step 6: Final answer
    x = 2,125.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.