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Finding the Third Proportional to 15,319.13 and 22,300.31

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Solution

The third proportional to 15,319.13 and 22,300.31 is: 32,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.13 : 22,300.31 = 22,300.31 : x
  2. Step 2: Convert to fraction form
    15,319.13/22,300.31 = 22,300.31/x
  3. Step 3: Cross multiply
    15,319.13x = 22,300.31 × 22,300.31
  4. Step 4: Simplify right side
    15,319.13x = 497,303,937.60
  5. Step 5: Solve for x
    x = 497,303,937.60/15,319.13
  6. Step 6: Final answer
    x = 32,462.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.