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Finding the Third Proportional to 14,643 and 22,510.13

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Solution

The third proportional to 14,643 and 22,510.13 is: 34,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643 : 22,510.13 = 22,510.13 : x
  2. Step 2: Convert to fraction form
    14,643/22,510.13 = 22,510.13/x
  3. Step 3: Cross multiply
    14,643x = 22,510.13 × 22,510.13
  4. Step 4: Simplify right side
    14,643x = 506,705,727.52
  5. Step 5: Solve for x
    x = 506,705,727.52/14,643
  6. Step 6: Final answer
    x = 34,603.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.