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Finding the Third Proportional to 14,580 and 19,710

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Solution

The third proportional to 14,580 and 19,710 is: 26,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580 : 19,710 = 19,710 : x
  2. Step 2: Convert to fraction form
    14,580/19,710 = 19,710/x
  3. Step 3: Cross multiply
    14,580x = 19,710 × 19,710
  4. Step 4: Simplify right side
    14,580x = 388,484,100
  5. Step 5: Solve for x
    x = 388,484,100/14,580
  6. Step 6: Final answer
    x = 26,645

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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.