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Finding the Third Proportional to 30,048.47 and 64,265.91

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Solution

The third proportional to 30,048.47 and 64,265.91 is: 137,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,048.47 : 64,265.91 = 64,265.91 : x
  2. Step 2: Convert to fraction form
    30,048.47/64,265.91 = 64,265.91/x
  3. Step 3: Cross multiply
    30,048.47x = 64,265.91 × 64,265.91
  4. Step 4: Simplify right side
    30,048.47x = 4,130,106,706.13
  5. Step 5: Solve for x
    x = 4,130,106,706.13/30,048.47
  6. Step 6: Final answer
    x = 137,448.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.