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Finding the Third Proportional to 970.10 and 1,275.75

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Solution

The third proportional to 970.10 and 1,275.75 is: 1,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.10 : 1,275.75 = 1,275.75 : x
  2. Step 2: Convert to fraction form
    970.10/1,275.75 = 1,275.75/x
  3. Step 3: Cross multiply
    970.10x = 1,275.75 × 1,275.75
  4. Step 4: Simplify right side
    970.10x = 1,627,538.06
  5. Step 5: Solve for x
    x = 1,627,538.06/970.10
  6. Step 6: Final answer
    x = 1,677.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.