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Finding the Third Proportional to 10,642.13 and 15,586.13

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Solution

The third proportional to 10,642.13 and 15,586.13 is: 22,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.13 : 15,586.13 = 15,586.13 : x
  2. Step 2: Convert to fraction form
    10,642.13/15,586.13 = 15,586.13/x
  3. Step 3: Cross multiply
    10,642.13x = 15,586.13 × 15,586.13
  4. Step 4: Simplify right side
    10,642.13x = 242,927,292.52
  5. Step 5: Solve for x
    x = 242,927,292.52/10,642.13
  6. Step 6: Final answer
    x = 22,826.95

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1.5x scale

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.