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Finding the Third Proportional to 28,547 and 63,654

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Solution

The third proportional to 28,547 and 63,654 is: 141,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547 : 63,654 = 63,654 : x
  2. Step 2: Convert to fraction form
    28,547/63,654 = 63,654/x
  3. Step 3: Cross multiply
    28,547x = 63,654 × 63,654
  4. Step 4: Simplify right side
    28,547x = 4,051,831,716
  5. Step 5: Solve for x
    x = 4,051,831,716/28,547
  6. Step 6: Final answer
    x = 141,935.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.