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Finding the Third Proportional to 12,506 and 19,636

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Solution

The third proportional to 12,506 and 19,636 is: 30,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506 : 19,636 = 19,636 : x
  2. Step 2: Convert to fraction form
    12,506/19,636 = 19,636/x
  3. Step 3: Cross multiply
    12,506x = 19,636 × 19,636
  4. Step 4: Simplify right side
    12,506x = 385,572,496
  5. Step 5: Solve for x
    x = 385,572,496/12,506
  6. Step 6: Final answer
    x = 30,831.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.