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Finding the Third Proportional to 29,822 and 64,316

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Solution

The third proportional to 29,822 and 64,316 is: 138,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822 : 64,316 = 64,316 : x
  2. Step 2: Convert to fraction form
    29,822/64,316 = 64,316/x
  3. Step 3: Cross multiply
    29,822x = 64,316 × 64,316
  4. Step 4: Simplify right side
    29,822x = 4,136,547,856
  5. Step 5: Solve for x
    x = 4,136,547,856/29,822
  6. Step 6: Final answer
    x = 138,707.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.