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Finding the Third Proportional to 973.88 and 1,312.13

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Solution

The third proportional to 973.88 and 1,312.13 is: 1,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.88 : 1,312.13 = 1,312.13 : x
  2. Step 2: Convert to fraction form
    973.88/1,312.13 = 1,312.13/x
  3. Step 3: Cross multiply
    973.88x = 1,312.13 × 1,312.13
  4. Step 4: Simplify right side
    973.88x = 1,721,672.02
  5. Step 5: Solve for x
    x = 1,721,672.02/973.88
  6. Step 6: Final answer
    x = 1,767.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.