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Finding the Third Proportional to 14,598 and 22,547

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Solution

The third proportional to 14,598 and 22,547 is: 34,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598 : 22,547 = 22,547 : x
  2. Step 2: Convert to fraction form
    14,598/22,547 = 22,547/x
  3. Step 3: Cross multiply
    14,598x = 22,547 × 22,547
  4. Step 4: Simplify right side
    14,598x = 508,367,209
  5. Step 5: Solve for x
    x = 508,367,209/14,598
  6. Step 6: Final answer
    x = 34,824.44

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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.