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Finding the Third Proportional to 29,547 and 64,835

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Solution

The third proportional to 29,547 and 64,835 is: 142,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547 : 64,835 = 64,835 : x
  2. Step 2: Convert to fraction form
    29,547/64,835 = 64,835/x
  3. Step 3: Cross multiply
    29,547x = 64,835 × 64,835
  4. Step 4: Simplify right side
    29,547x = 4,203,577,225
  5. Step 5: Solve for x
    x = 4,203,577,225/29,547
  6. Step 6: Final answer
    x = 142,267.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.